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Finding the Fourth Proportional to 12,374.24, 17,076 and 6,785.12

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Solution

The fourth proportional to 12,374.24, 17,076 and 6,785.12 is: 9,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.24 : 17,076 = 6,785.12 : x
  2. Step 2: Convert to fraction form
    12,374.24/17,076 = 6,785.12/x
  3. Step 3: Cross multiply
    12,374.24x = 17,076 × 6,785.12
  4. Step 4: Simplify right side
    12,374.24x = 115,862,709.12
  5. Step 5: Solve for x
    x = 115,862,709.12/12,374.24
  6. Step 6: Final answer
    x = 9,363.22

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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.