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Finding the Fourth Proportional to 7,987.82, 11,966.02 and 7,532.67

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Solution

The fourth proportional to 7,987.82, 11,966.02 and 7,532.67 is: 11,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.82 : 11,966.02 = 7,532.67 : x
  2. Step 2: Convert to fraction form
    7,987.82/11,966.02 = 7,532.67/x
  3. Step 3: Cross multiply
    7,987.82x = 11,966.02 × 7,532.67
  4. Step 4: Simplify right side
    7,987.82x = 90,136,061.04
  5. Step 5: Solve for x
    x = 90,136,061.04/7,987.82
  6. Step 6: Final answer
    x = 11,284.18

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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.