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Finding the Fourth Proportional to 9,991.60, 14,971.20 and 6,287.20

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Solution

The fourth proportional to 9,991.60, 14,971.20 and 6,287.20 is: 9,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.60 : 14,971.20 = 6,287.20 : x
  2. Step 2: Convert to fraction form
    9,991.60/14,971.20 = 6,287.20/x
  3. Step 3: Cross multiply
    9,991.60x = 14,971.20 × 6,287.20
  4. Step 4: Simplify right side
    9,991.60x = 94,126,928.64
  5. Step 5: Solve for x
    x = 94,126,928.64/9,991.60
  6. Step 6: Final answer
    x = 9,420.61

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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.