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Finding the Fourth Proportional to 9,590.76, 13,232.16 and 5,398.20

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Solution

The fourth proportional to 9,590.76, 13,232.16 and 5,398.20 is: 7,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.76 : 13,232.16 = 5,398.20 : x
  2. Step 2: Convert to fraction form
    9,590.76/13,232.16 = 5,398.20/x
  3. Step 3: Cross multiply
    9,590.76x = 13,232.16 × 5,398.20
  4. Step 4: Simplify right side
    9,590.76x = 71,429,846.11
  5. Step 5: Solve for x
    x = 71,429,846.11/9,590.76
  6. Step 6: Final answer
    x = 7,447.78

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.