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Finding the Fourth Proportional to 16,478.60, 24,706.16 and 7,708.74

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Solution

The fourth proportional to 16,478.60, 24,706.16 and 7,708.74 is: 11,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.60 : 24,706.16 = 7,708.74 : x
  2. Step 2: Convert to fraction form
    16,478.60/24,706.16 = 7,708.74/x
  3. Step 3: Cross multiply
    16,478.60x = 24,706.16 × 7,708.74
  4. Step 4: Simplify right side
    16,478.60x = 190,453,363.84
  5. Step 5: Solve for x
    x = 190,453,363.84/16,478.60
  6. Step 6: Final answer
    x = 11,557.62

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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.