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Finding the Fourth Proportional to 6,543.16, 9,792.86 and 5,373.12

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Solution

The fourth proportional to 6,543.16, 9,792.86 and 5,373.12 is: 8,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.16 : 9,792.86 = 5,373.12 : x
  2. Step 2: Convert to fraction form
    6,543.16/9,792.86 = 5,373.12/x
  3. Step 3: Cross multiply
    6,543.16x = 9,792.86 × 5,373.12
  4. Step 4: Simplify right side
    6,543.16x = 52,618,211.92
  5. Step 5: Solve for x
    x = 52,618,211.92/6,543.16
  6. Step 6: Final answer
    x = 8,041.71

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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.