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Finding the Fourth Proportional to 10,832.31, 14,952.93 and 7,058.71

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Solution

The fourth proportional to 10,832.31, 14,952.93 and 7,058.71 is: 9,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.31 : 14,952.93 = 7,058.71 : x
  2. Step 2: Convert to fraction form
    10,832.31/14,952.93 = 7,058.71/x
  3. Step 3: Cross multiply
    10,832.31x = 14,952.93 × 7,058.71
  4. Step 4: Simplify right side
    10,832.31x = 105,548,440.14
  5. Step 5: Solve for x
    x = 105,548,440.14/10,832.31
  6. Step 6: Final answer
    x = 9,743.85

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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.