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Finding the Fourth Proportional to 9,824.70, 14,731.50 and 8,657.34

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Solution

The fourth proportional to 9,824.70, 14,731.50 and 8,657.34 is: 12,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.70 : 14,731.50 = 8,657.34 : x
  2. Step 2: Convert to fraction form
    9,824.70/14,731.50 = 8,657.34/x
  3. Step 3: Cross multiply
    9,824.70x = 14,731.50 × 8,657.34
  4. Step 4: Simplify right side
    9,824.70x = 127,535,604.21
  5. Step 5: Solve for x
    x = 127,535,604.21/9,824.70
  6. Step 6: Final answer
    x = 12,981.12

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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.