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Finding the Fourth Proportional to 9,981.14, 13,774.14 and 6,001.50

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Solution

The fourth proportional to 9,981.14, 13,774.14 and 6,001.50 is: 8,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.14 : 13,774.14 = 6,001.50 : x
  2. Step 2: Convert to fraction form
    9,981.14/13,774.14 = 6,001.50/x
  3. Step 3: Cross multiply
    9,981.14x = 13,774.14 × 6,001.50
  4. Step 4: Simplify right side
    9,981.14x = 82,665,501.21
  5. Step 5: Solve for x
    x = 82,665,501.21/9,981.14
  6. Step 6: Final answer
    x = 8,282.17

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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.