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Finding the Fourth Proportional to 9,686.25, 14,534.63 and 7,499.25

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Solution

The fourth proportional to 9,686.25, 14,534.63 and 7,499.25 is: 11,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.25 : 14,534.63 = 7,499.25 : x
  2. Step 2: Convert to fraction form
    9,686.25/14,534.63 = 7,499.25/x
  3. Step 3: Cross multiply
    9,686.25x = 14,534.63 × 7,499.25
  4. Step 4: Simplify right side
    9,686.25x = 108,998,786.53
  5. Step 5: Solve for x
    x = 108,998,786.53/9,686.25
  6. Step 6: Final answer
    x = 11,252.94

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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.