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Finding the Fourth Proportional to 10,663.68, 14,715.68 and 5,948.80

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Solution

The fourth proportional to 10,663.68, 14,715.68 and 5,948.80 is: 8,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.68 : 14,715.68 = 5,948.80 : x
  2. Step 2: Convert to fraction form
    10,663.68/14,715.68 = 5,948.80/x
  3. Step 3: Cross multiply
    10,663.68x = 14,715.68 × 5,948.80
  4. Step 4: Simplify right side
    10,663.68x = 87,540,637.18
  5. Step 5: Solve for x
    x = 87,540,637.18/10,663.68
  6. Step 6: Final answer
    x = 8,209.23

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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.