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Finding the Fourth Proportional to 12,860.98, 17,751.74 and 7,484.47

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Solution

The fourth proportional to 12,860.98, 17,751.74 and 7,484.47 is: 10,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.98 : 17,751.74 = 7,484.47 : x
  2. Step 2: Convert to fraction form
    12,860.98/17,751.74 = 7,484.47/x
  3. Step 3: Cross multiply
    12,860.98x = 17,751.74 × 7,484.47
  4. Step 4: Simplify right side
    12,860.98x = 132,862,283.68
  5. Step 5: Solve for x
    x = 132,862,283.68/12,860.98
  6. Step 6: Final answer
    x = 10,330.65

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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.