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Finding the Fourth Proportional to 9,784.32, 14,691.06 and 6,868.32

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Solution

The fourth proportional to 9,784.32, 14,691.06 and 6,868.32 is: 10,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.32 : 14,691.06 = 6,868.32 : x
  2. Step 2: Convert to fraction form
    9,784.32/14,691.06 = 6,868.32/x
  3. Step 3: Cross multiply
    9,784.32x = 14,691.06 × 6,868.32
  4. Step 4: Simplify right side
    9,784.32x = 100,902,901.22
  5. Step 5: Solve for x
    x = 100,902,901.22/9,784.32
  6. Step 6: Final answer
    x = 10,312.71

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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.