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Finding the Fourth Proportional to 9,472.68, 13,056.12 and 6,483.24

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Solution

The fourth proportional to 9,472.68, 13,056.12 and 6,483.24 is: 8,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.68 : 13,056.12 = 6,483.24 : x
  2. Step 2: Convert to fraction form
    9,472.68/13,056.12 = 6,483.24/x
  3. Step 3: Cross multiply
    9,472.68x = 13,056.12 × 6,483.24
  4. Step 4: Simplify right side
    9,472.68x = 84,645,959.43
  5. Step 5: Solve for x
    x = 84,645,959.43/9,472.68
  6. Step 6: Final answer
    x = 8,935.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.