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Finding the Fourth Proportional to 6,904.92, 9,532.32 and 4,678.56

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Solution

The fourth proportional to 6,904.92, 9,532.32 and 4,678.56 is: 6,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.92 : 9,532.32 = 4,678.56 : x
  2. Step 2: Convert to fraction form
    6,904.92/9,532.32 = 4,678.56/x
  3. Step 3: Cross multiply
    6,904.92x = 9,532.32 × 4,678.56
  4. Step 4: Simplify right side
    6,904.92x = 44,597,531.06
  5. Step 5: Solve for x
    x = 44,597,531.06/6,904.92
  6. Step 6: Final answer
    x = 6,458.80

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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.