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Finding the Fourth Proportional to 6,562.48, 9,052.08 and 4,206.16

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Solution

The fourth proportional to 6,562.48, 9,052.08 and 4,206.16 is: 5,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.48 : 9,052.08 = 4,206.16 : x
  2. Step 2: Convert to fraction form
    6,562.48/9,052.08 = 4,206.16/x
  3. Step 3: Cross multiply
    6,562.48x = 9,052.08 × 4,206.16
  4. Step 4: Simplify right side
    6,562.48x = 38,074,496.81
  5. Step 5: Solve for x
    x = 38,074,496.81/6,562.48
  6. Step 6: Final answer
    x = 5,801.85

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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.