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Finding the Fourth Proportional to 9,992.62, 14,972.46 and 6,482.44

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Solution

The fourth proportional to 9,992.62, 14,972.46 and 6,482.44 is: 9,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.62 : 14,972.46 = 6,482.44 : x
  2. Step 2: Convert to fraction form
    9,992.62/14,972.46 = 6,482.44/x
  3. Step 3: Cross multiply
    9,992.62x = 14,972.46 × 6,482.44
  4. Step 4: Simplify right side
    9,992.62x = 97,058,073.60
  5. Step 5: Solve for x
    x = 97,058,073.60/9,992.62
  6. Step 6: Final answer
    x = 9,712.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.