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Finding the Fourth Proportional to 12,652.39, 17,460.39 and 6,986.98

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Solution

The fourth proportional to 12,652.39, 17,460.39 and 6,986.98 is: 9,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.39 : 17,460.39 = 6,986.98 : x
  2. Step 2: Convert to fraction form
    12,652.39/17,460.39 = 6,986.98/x
  3. Step 3: Cross multiply
    12,652.39x = 17,460.39 × 6,986.98
  4. Step 4: Simplify right side
    12,652.39x = 121,995,395.72
  5. Step 5: Solve for x
    x = 121,995,395.72/12,652.39
  6. Step 6: Final answer
    x = 9,642.08

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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.