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Finding the Fourth Proportional to 10,474.60, 15,711.90 and 3,549.16

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Solution

The fourth proportional to 10,474.60, 15,711.90 and 3,549.16 is: 5,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.60 : 15,711.90 = 3,549.16 : x
  2. Step 2: Convert to fraction form
    10,474.60/15,711.90 = 3,549.16/x
  3. Step 3: Cross multiply
    10,474.60x = 15,711.90 × 3,549.16
  4. Step 4: Simplify right side
    10,474.60x = 55,764,047.00
  5. Step 5: Solve for x
    x = 55,764,047.00/10,474.60
  6. Step 6: Final answer
    x = 5,323.74

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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.