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Finding the Fourth Proportional to 12,564.96, 17,342.76 and 7,263.08

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Solution

The fourth proportional to 12,564.96, 17,342.76 and 7,263.08 is: 10,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.96 : 17,342.76 = 7,263.08 : x
  2. Step 2: Convert to fraction form
    12,564.96/17,342.76 = 7,263.08/x
  3. Step 3: Cross multiply
    12,564.96x = 17,342.76 × 7,263.08
  4. Step 4: Simplify right side
    12,564.96x = 125,961,853.30
  5. Step 5: Solve for x
    x = 125,961,853.30/12,564.96
  6. Step 6: Final answer
    x = 10,024.85

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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.