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Finding the Fourth Proportional to 12,708.33, 17,543.69 and 8,461.90

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Solution

The fourth proportional to 12,708.33, 17,543.69 and 8,461.90 is: 11,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.33 : 17,543.69 = 8,461.90 : x
  2. Step 2: Convert to fraction form
    12,708.33/17,543.69 = 8,461.90/x
  3. Step 3: Cross multiply
    12,708.33x = 17,543.69 × 8,461.90
  4. Step 4: Simplify right side
    12,708.33x = 148,452,950.41
  5. Step 5: Solve for x
    x = 148,452,950.41/12,708.33
  6. Step 6: Final answer
    x = 11,681.55

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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.