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Finding the Fourth Proportional to 9,681.78, 14,523.54 and 3,758.53

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Solution

The fourth proportional to 9,681.78, 14,523.54 and 3,758.53 is: 5,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.78 : 14,523.54 = 3,758.53 : x
  2. Step 2: Convert to fraction form
    9,681.78/14,523.54 = 3,758.53/x
  3. Step 3: Cross multiply
    9,681.78x = 14,523.54 × 3,758.53
  4. Step 4: Simplify right side
    9,681.78x = 54,587,160.80
  5. Step 5: Solve for x
    x = 54,587,160.80/9,681.78
  6. Step 6: Final answer
    x = 5,638.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.