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Finding the Fourth Proportional to 6,569.48, 9,855.84 and 4,372.76

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Solution

The fourth proportional to 6,569.48, 9,855.84 and 4,372.76 is: 6,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.48 : 9,855.84 = 4,372.76 : x
  2. Step 2: Convert to fraction form
    6,569.48/9,855.84 = 4,372.76/x
  3. Step 3: Cross multiply
    6,569.48x = 9,855.84 × 4,372.76
  4. Step 4: Simplify right side
    6,569.48x = 43,097,222.92
  5. Step 5: Solve for x
    x = 43,097,222.92/6,569.48
  6. Step 6: Final answer
    x = 6,560.22

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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.