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Finding the Fourth Proportional to 9,602.56, 14,319.77 and 9,515.08

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Solution

The fourth proportional to 9,602.56, 14,319.77 and 9,515.08 is: 14,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.56 : 14,319.77 = 9,515.08 : x
  2. Step 2: Convert to fraction form
    9,602.56/14,319.77 = 9,515.08/x
  3. Step 3: Cross multiply
    9,602.56x = 14,319.77 × 9,515.08
  4. Step 4: Simplify right side
    9,602.56x = 136,253,757.13
  5. Step 5: Solve for x
    x = 136,253,757.13/9,602.56
  6. Step 6: Final answer
    x = 14,189.32

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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.