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Finding the Fourth Proportional to 12,577.24, 17,359 and 8,328.36

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Solution

The fourth proportional to 12,577.24, 17,359 and 8,328.36 is: 11,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.24 : 17,359 = 8,328.36 : x
  2. Step 2: Convert to fraction form
    12,577.24/17,359 = 8,328.36/x
  3. Step 3: Cross multiply
    12,577.24x = 17,359 × 8,328.36
  4. Step 4: Simplify right side
    12,577.24x = 144,572,001.24
  5. Step 5: Solve for x
    x = 144,572,001.24/12,577.24
  6. Step 6: Final answer
    x = 11,494.73

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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.