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Finding the Fourth Proportional to 6,567.29, 9,062.98 and 3,583.15

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Solution

The fourth proportional to 6,567.29, 9,062.98 and 3,583.15 is: 4,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.29 : 9,062.98 = 3,583.15 : x
  2. Step 2: Convert to fraction form
    6,567.29/9,062.98 = 3,583.15/x
  3. Step 3: Cross multiply
    6,567.29x = 9,062.98 × 3,583.15
  4. Step 4: Simplify right side
    6,567.29x = 32,473,985.17
  5. Step 5: Solve for x
    x = 32,473,985.17/6,567.29
  6. Step 6: Final answer
    x = 4,944.81

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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.