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Finding the Fourth Proportional to 9,491.10, 14,248.80 and 5,052.30

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Solution

The fourth proportional to 9,491.10, 14,248.80 and 5,052.30 is: 7,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.10 : 14,248.80 = 5,052.30 : x
  2. Step 2: Convert to fraction form
    9,491.10/14,248.80 = 5,052.30/x
  3. Step 3: Cross multiply
    9,491.10x = 14,248.80 × 5,052.30
  4. Step 4: Simplify right side
    9,491.10x = 71,989,212.24
  5. Step 5: Solve for x
    x = 71,989,212.24/9,491.10
  6. Step 6: Final answer
    x = 7,584.92

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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.