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Finding the Fourth Proportional to 9,984.06, 14,954.76 and 8,101.62

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Solution

The fourth proportional to 9,984.06, 14,954.76 and 8,101.62 is: 12,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.06 : 14,954.76 = 8,101.62 : x
  2. Step 2: Convert to fraction form
    9,984.06/14,954.76 = 8,101.62/x
  3. Step 3: Cross multiply
    9,984.06x = 14,954.76 × 8,101.62
  4. Step 4: Simplify right side
    9,984.06x = 121,157,782.71
  5. Step 5: Solve for x
    x = 121,157,782.71/9,984.06
  6. Step 6: Final answer
    x = 12,135.12

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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.