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Finding the Fourth Proportional to 9,298.98, 13,946.04 and 3,452.40

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Solution

The fourth proportional to 9,298.98, 13,946.04 and 3,452.40 is: 5,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.98 : 13,946.04 = 3,452.40 : x
  2. Step 2: Convert to fraction form
    9,298.98/13,946.04 = 3,452.40/x
  3. Step 3: Cross multiply
    9,298.98x = 13,946.04 × 3,452.40
  4. Step 4: Simplify right side
    9,298.98x = 48,147,308.50
  5. Step 5: Solve for x
    x = 48,147,308.50/9,298.98
  6. Step 6: Final answer
    x = 5,177.70

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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.