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Finding the Fourth Proportional to 7,104.60, 9,784.08 and 6,951.96

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Solution

The fourth proportional to 7,104.60, 9,784.08 and 6,951.96 is: 9,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.60 : 9,784.08 = 6,951.96 : x
  2. Step 2: Convert to fraction form
    7,104.60/9,784.08 = 6,951.96/x
  3. Step 3: Cross multiply
    7,104.60x = 9,784.08 × 6,951.96
  4. Step 4: Simplify right side
    7,104.60x = 68,018,532.80
  5. Step 5: Solve for x
    x = 68,018,532.80/7,104.60
  6. Step 6: Final answer
    x = 9,573.87

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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.