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Finding the Fourth Proportional to 10,658.60, 15,968.70 and 9,429.80

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Solution

The fourth proportional to 10,658.60, 15,968.70 and 9,429.80 is: 14,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.60 : 15,968.70 = 9,429.80 : x
  2. Step 2: Convert to fraction form
    10,658.60/15,968.70 = 9,429.80/x
  3. Step 3: Cross multiply
    10,658.60x = 15,968.70 × 9,429.80
  4. Step 4: Simplify right side
    10,658.60x = 150,581,647.26
  5. Step 5: Solve for x
    x = 150,581,647.26/10,658.60
  6. Step 6: Final answer
    x = 14,127.71

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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.