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Finding the Fourth Proportional to 6,585.11, 9,068.99 and 6,564.59

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Solution

The fourth proportional to 6,585.11, 9,068.99 and 6,564.59 is: 9,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.11 : 9,068.99 = 6,564.59 : x
  2. Step 2: Convert to fraction form
    6,585.11/9,068.99 = 6,564.59/x
  3. Step 3: Cross multiply
    6,585.11x = 9,068.99 × 6,564.59
  4. Step 4: Simplify right side
    6,585.11x = 59,534,122.90
  5. Step 5: Solve for x
    x = 59,534,122.90/6,585.11
  6. Step 6: Final answer
    x = 9,040.72

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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.