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Finding the Fourth Proportional to 10,632.96, 14,658.10 and 7,041.90

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Solution

The fourth proportional to 10,632.96, 14,658.10 and 7,041.90 is: 9,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.96 : 14,658.10 = 7,041.90 : x
  2. Step 2: Convert to fraction form
    10,632.96/14,658.10 = 7,041.90/x
  3. Step 3: Cross multiply
    10,632.96x = 14,658.10 × 7,041.90
  4. Step 4: Simplify right side
    10,632.96x = 103,220,874.39
  5. Step 5: Solve for x
    x = 103,220,874.39/10,632.96
  6. Step 6: Final answer
    x = 9,707.63

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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.