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Finding the Fourth Proportional to 25,141.48, 37,711 and 8,502.16

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Solution

The fourth proportional to 25,141.48, 37,711 and 8,502.16 is: 12,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,141.48 : 37,711 = 8,502.16 : x
  2. Step 2: Convert to fraction form
    25,141.48/37,711 = 8,502.16/x
  3. Step 3: Cross multiply
    25,141.48x = 37,711 × 8,502.16
  4. Step 4: Simplify right side
    25,141.48x = 320,624,955.76
  5. Step 5: Solve for x
    x = 320,624,955.76/25,141.48
  6. Step 6: Final answer
    x = 12,752.83

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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.