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Finding the Fourth Proportional to 12,534.65, 17,298.17 and 6,945.65

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Solution

The fourth proportional to 12,534.65, 17,298.17 and 6,945.65 is: 9,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.65 : 17,298.17 = 6,945.65 : x
  2. Step 2: Convert to fraction form
    12,534.65/17,298.17 = 6,945.65/x
  3. Step 3: Cross multiply
    12,534.65x = 17,298.17 × 6,945.65
  4. Step 4: Simplify right side
    12,534.65x = 120,146,999.73
  5. Step 5: Solve for x
    x = 120,146,999.73/12,534.65
  6. Step 6: Final answer
    x = 9,585.19

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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.