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Finding the Fourth Proportional to 10,232, 14,058.95 and 8,132.48

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Solution

The fourth proportional to 10,232, 14,058.95 and 8,132.48 is: 11,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232 : 14,058.95 = 8,132.48 : x
  2. Step 2: Convert to fraction form
    10,232/14,058.95 = 8,132.48/x
  3. Step 3: Cross multiply
    10,232x = 14,058.95 × 8,132.48
  4. Step 4: Simplify right side
    10,232x = 114,334,129.70
  5. Step 5: Solve for x
    x = 114,334,129.70/10,232
  6. Step 6: Final answer
    x = 11,174.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.