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Finding the Fourth Proportional to 9,687.14, 14,534.24 and 5,985.12

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Solution

The fourth proportional to 9,687.14, 14,534.24 and 5,985.12 is: 8,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.14 : 14,534.24 = 5,985.12 : x
  2. Step 2: Convert to fraction form
    9,687.14/14,534.24 = 5,985.12/x
  3. Step 3: Cross multiply
    9,687.14x = 14,534.24 × 5,985.12
  4. Step 4: Simplify right side
    9,687.14x = 86,989,140.58
  5. Step 5: Solve for x
    x = 86,989,140.58/9,687.14
  6. Step 6: Final answer
    x = 8,979.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.