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Finding the Fourth Proportional to 10,614.11, 14,653.87 and 7,032.10

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Solution

The fourth proportional to 10,614.11, 14,653.87 and 7,032.10 is: 9,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.11 : 14,653.87 = 7,032.10 : x
  2. Step 2: Convert to fraction form
    10,614.11/14,653.87 = 7,032.10/x
  3. Step 3: Cross multiply
    10,614.11x = 14,653.87 × 7,032.10
  4. Step 4: Simplify right side
    10,614.11x = 103,047,460.91
  5. Step 5: Solve for x
    x = 103,047,460.91/10,614.11
  6. Step 6: Final answer
    x = 9,708.54

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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.