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Finding the Fourth Proportional to 9,699.66, 14,549.59 and 5,314.73

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Solution

The fourth proportional to 9,699.66, 14,549.59 and 5,314.73 is: 7,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.66 : 14,549.59 = 5,314.73 : x
  2. Step 2: Convert to fraction form
    9,699.66/14,549.59 = 5,314.73/x
  3. Step 3: Cross multiply
    9,699.66x = 14,549.59 × 5,314.73
  4. Step 4: Simplify right side
    9,699.66x = 77,327,074.40
  5. Step 5: Solve for x
    x = 77,327,074.40/9,699.66
  6. Step 6: Final answer
    x = 7,972.14

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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.