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Finding the Fourth Proportional to 12,675.95, 17,494.28 and 7,642.74

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Solution

The fourth proportional to 12,675.95, 17,494.28 and 7,642.74 is: 10,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.95 : 17,494.28 = 7,642.74 : x
  2. Step 2: Convert to fraction form
    12,675.95/17,494.28 = 7,642.74/x
  3. Step 3: Cross multiply
    12,675.95x = 17,494.28 × 7,642.74
  4. Step 4: Simplify right side
    12,675.95x = 133,704,233.53
  5. Step 5: Solve for x
    x = 133,704,233.53/12,675.95
  6. Step 6: Final answer
    x = 10,547.87

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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.