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Finding the Fourth Proportional to 6,531.73, 9,013.52 and 3,547.49

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Solution

The fourth proportional to 6,531.73, 9,013.52 and 3,547.49 is: 4,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.73 : 9,013.52 = 3,547.49 : x
  2. Step 2: Convert to fraction form
    6,531.73/9,013.52 = 3,547.49/x
  3. Step 3: Cross multiply
    6,531.73x = 9,013.52 × 3,547.49
  4. Step 4: Simplify right side
    6,531.73x = 31,975,372.06
  5. Step 5: Solve for x
    x = 31,975,372.06/6,531.73
  6. Step 6: Final answer
    x = 4,895.39

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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.