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Finding the Fourth Proportional to 8,341.57, 12,526.65 and 7,406.62

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Solution

The fourth proportional to 8,341.57, 12,526.65 and 7,406.62 is: 11,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.57 : 12,526.65 = 7,406.62 : x
  2. Step 2: Convert to fraction form
    8,341.57/12,526.65 = 7,406.62/x
  3. Step 3: Cross multiply
    8,341.57x = 12,526.65 × 7,406.62
  4. Step 4: Simplify right side
    8,341.57x = 92,780,073.79
  5. Step 5: Solve for x
    x = 92,780,073.79/8,341.57
  6. Step 6: Final answer
    x = 11,122.62

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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.