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Finding the Fourth Proportional to 12,509.10, 17,264.19 and 7,204.14

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Solution

The fourth proportional to 12,509.10, 17,264.19 and 7,204.14 is: 9,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.10 : 17,264.19 = 7,204.14 : x
  2. Step 2: Convert to fraction form
    12,509.10/17,264.19 = 7,204.14/x
  3. Step 3: Cross multiply
    12,509.10x = 17,264.19 × 7,204.14
  4. Step 4: Simplify right side
    12,509.10x = 124,373,641.75
  5. Step 5: Solve for x
    x = 124,373,641.75/12,509.10
  6. Step 6: Final answer
    x = 9,942.65

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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.