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Finding the Fourth Proportional to 24,543.46, 36,814.32 and 7,904.62

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Solution

The fourth proportional to 24,543.46, 36,814.32 and 7,904.62 is: 11,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.46 : 36,814.32 = 7,904.62 : x
  2. Step 2: Convert to fraction form
    24,543.46/36,814.32 = 7,904.62/x
  3. Step 3: Cross multiply
    24,543.46x = 36,814.32 × 7,904.62
  4. Step 4: Simplify right side
    24,543.46x = 291,003,210.16
  5. Step 5: Solve for x
    x = 291,003,210.16/24,543.46
  6. Step 6: Final answer
    x = 11,856.65

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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.