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Finding the Fourth Proportional to 10,594.13, 14,609.84 and 7,720.25

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Solution

The fourth proportional to 10,594.13, 14,609.84 and 7,720.25 is: 10,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.13 : 14,609.84 = 7,720.25 : x
  2. Step 2: Convert to fraction form
    10,594.13/14,609.84 = 7,720.25/x
  3. Step 3: Cross multiply
    10,594.13x = 14,609.84 × 7,720.25
  4. Step 4: Simplify right side
    10,594.13x = 112,791,505.61
  5. Step 5: Solve for x
    x = 112,791,505.61/10,594.13
  6. Step 6: Final answer
    x = 10,646.61

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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.