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Finding the Fourth Proportional to 7,098.76, 9,793.40 and 4,299.40

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Solution

The fourth proportional to 7,098.76, 9,793.40 and 4,299.40 is: 5,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.76 : 9,793.40 = 4,299.40 : x
  2. Step 2: Convert to fraction form
    7,098.76/9,793.40 = 4,299.40/x
  3. Step 3: Cross multiply
    7,098.76x = 9,793.40 × 4,299.40
  4. Step 4: Simplify right side
    7,098.76x = 42,105,743.96
  5. Step 5: Solve for x
    x = 42,105,743.96/7,098.76
  6. Step 6: Final answer
    x = 5,931.42

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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.