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Finding the Fourth Proportional to 12,873.57, 17,764.65 and 7,207.35

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Solution

The fourth proportional to 12,873.57, 17,764.65 and 7,207.35 is: 9,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.57 : 17,764.65 = 7,207.35 : x
  2. Step 2: Convert to fraction form
    12,873.57/17,764.65 = 7,207.35/x
  3. Step 3: Cross multiply
    12,873.57x = 17,764.65 × 7,207.35
  4. Step 4: Simplify right side
    12,873.57x = 128,036,050.18
  5. Step 5: Solve for x
    x = 128,036,050.18/12,873.57
  6. Step 6: Final answer
    x = 9,945.65

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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.