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Finding the Fourth Proportional to 9,914.80, 13,691.68 and 6,384.16

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Solution

The fourth proportional to 9,914.80, 13,691.68 and 6,384.16 is: 8,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.80 : 13,691.68 = 6,384.16 : x
  2. Step 2: Convert to fraction form
    9,914.80/13,691.68 = 6,384.16/x
  3. Step 3: Cross multiply
    9,914.80x = 13,691.68 × 6,384.16
  4. Step 4: Simplify right side
    9,914.80x = 87,409,875.79
  5. Step 5: Solve for x
    x = 87,409,875.79/9,914.80
  6. Step 6: Final answer
    x = 8,816.10

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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.