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Finding the Fourth Proportional to 10,472.82, 14,448.86 and 6,492.48

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Solution

The fourth proportional to 10,472.82, 14,448.86 and 6,492.48 is: 8,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.82 : 14,448.86 = 6,492.48 : x
  2. Step 2: Convert to fraction form
    10,472.82/14,448.86 = 6,492.48/x
  3. Step 3: Cross multiply
    10,472.82x = 14,448.86 × 6,492.48
  4. Step 4: Simplify right side
    10,472.82x = 93,808,934.57
  5. Step 5: Solve for x
    x = 93,808,934.57/10,472.82
  6. Step 6: Final answer
    x = 8,957.37

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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.