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Finding the Fourth Proportional to 7,763.08, 11,588.26 and 7,184.86

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Solution

The fourth proportional to 7,763.08, 11,588.26 and 7,184.86 is: 10,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.08 : 11,588.26 = 7,184.86 : x
  2. Step 2: Convert to fraction form
    7,763.08/11,588.26 = 7,184.86/x
  3. Step 3: Cross multiply
    7,763.08x = 11,588.26 × 7,184.86
  4. Step 4: Simplify right side
    7,763.08x = 83,260,025.74
  5. Step 5: Solve for x
    x = 83,260,025.74/7,763.08
  6. Step 6: Final answer
    x = 10,725.13

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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.