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Finding the Fourth Proportional to 7,543.65, 10,410.31 and 4,561.48

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Solution

The fourth proportional to 7,543.65, 10,410.31 and 4,561.48 is: 6,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.65 : 10,410.31 = 4,561.48 : x
  2. Step 2: Convert to fraction form
    7,543.65/10,410.31 = 4,561.48/x
  3. Step 3: Cross multiply
    7,543.65x = 10,410.31 × 4,561.48
  4. Step 4: Simplify right side
    7,543.65x = 47,486,439.57
  5. Step 5: Solve for x
    x = 47,486,439.57/7,543.65
  6. Step 6: Final answer
    x = 6,294.89

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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.