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Finding the Fourth Proportional to 6,742.59, 9,302.07 and 4,089.03

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Solution

The fourth proportional to 6,742.59, 9,302.07 and 4,089.03 is: 5,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.59 : 9,302.07 = 4,089.03 : x
  2. Step 2: Convert to fraction form
    6,742.59/9,302.07 = 4,089.03/x
  3. Step 3: Cross multiply
    6,742.59x = 9,302.07 × 4,089.03
  4. Step 4: Simplify right side
    6,742.59x = 38,036,443.29
  5. Step 5: Solve for x
    x = 38,036,443.29/6,742.59
  6. Step 6: Final answer
    x = 5,641.22

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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.