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Finding the Fourth Proportional to 6,535.76, 9,013.14 and 5,041.31

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Solution

The fourth proportional to 6,535.76, 9,013.14 and 5,041.31 is: 6,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.76 : 9,013.14 = 5,041.31 : x
  2. Step 2: Convert to fraction form
    6,535.76/9,013.14 = 5,041.31/x
  3. Step 3: Cross multiply
    6,535.76x = 9,013.14 × 5,041.31
  4. Step 4: Simplify right side
    6,535.76x = 45,437,987.75
  5. Step 5: Solve for x
    x = 45,437,987.75/6,535.76
  6. Step 6: Final answer
    x = 6,952.22

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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.