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Finding the Fourth Proportional to 7,767.08, 11,594.22 and 7,188.86

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Solution

The fourth proportional to 7,767.08, 11,594.22 and 7,188.86 is: 10,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.08 : 11,594.22 = 7,188.86 : x
  2. Step 2: Convert to fraction form
    7,767.08/11,594.22 = 7,188.86/x
  3. Step 3: Cross multiply
    7,767.08x = 11,594.22 × 7,188.86
  4. Step 4: Simplify right side
    7,767.08x = 83,349,188.44
  5. Step 5: Solve for x
    x = 83,349,188.44/7,767.08
  6. Step 6: Final answer
    x = 10,731.08

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.