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Finding the Fourth Proportional to 9,962.91, 13,754.34 and 5,985

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Solution

The fourth proportional to 9,962.91, 13,754.34 and 5,985 is: 8,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.91 : 13,754.34 = 5,985 : x
  2. Step 2: Convert to fraction form
    9,962.91/13,754.34 = 5,985/x
  3. Step 3: Cross multiply
    9,962.91x = 13,754.34 × 5,985
  4. Step 4: Simplify right side
    9,962.91x = 82,319,724.90
  5. Step 5: Solve for x
    x = 82,319,724.90/9,962.91
  6. Step 6: Final answer
    x = 8,262.62

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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.