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Finding the Fourth Proportional to 16,041.92, 24,066.98 and 6,178.55

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Solution

The fourth proportional to 16,041.92, 24,066.98 and 6,178.55 is: 9,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.92 : 24,066.98 = 6,178.55 : x
  2. Step 2: Convert to fraction form
    16,041.92/24,066.98 = 6,178.55/x
  3. Step 3: Cross multiply
    16,041.92x = 24,066.98 × 6,178.55
  4. Step 4: Simplify right side
    16,041.92x = 148,699,001.47
  5. Step 5: Solve for x
    x = 148,699,001.47/16,041.92
  6. Step 6: Final answer
    x = 9,269.40

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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.