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Finding the Fourth Proportional to 7,102.08, 9,799.20 and 4,307.04

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Solution

The fourth proportional to 7,102.08, 9,799.20 and 4,307.04 is: 5,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.08 : 9,799.20 = 4,307.04 : x
  2. Step 2: Convert to fraction form
    7,102.08/9,799.20 = 4,307.04/x
  3. Step 3: Cross multiply
    7,102.08x = 9,799.20 × 4,307.04
  4. Step 4: Simplify right side
    7,102.08x = 42,205,546.37
  5. Step 5: Solve for x
    x = 42,205,546.37/7,102.08
  6. Step 6: Final answer
    x = 5,942.70

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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.