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Finding the Fourth Proportional to 7,575.57, 10,454.00 and 4,218.53

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Solution

The fourth proportional to 7,575.57, 10,454.00 and 4,218.53 is: 5,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.57 : 10,454.00 = 4,218.53 : x
  2. Step 2: Convert to fraction form
    7,575.57/10,454.00 = 4,218.53/x
  3. Step 3: Cross multiply
    7,575.57x = 10,454.00 × 4,218.53
  4. Step 4: Simplify right side
    7,575.57x = 44,100,439.26
  5. Step 5: Solve for x
    x = 44,100,439.26/7,575.57
  6. Step 6: Final answer
    x = 5,821.40

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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.