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Finding the Fourth Proportional to 9,298.80, 13,938.48 and 7,102.08

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Solution

The fourth proportional to 9,298.80, 13,938.48 and 7,102.08 is: 10,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.80 : 13,938.48 = 7,102.08 : x
  2. Step 2: Convert to fraction form
    9,298.80/13,938.48 = 7,102.08/x
  3. Step 3: Cross multiply
    9,298.80x = 13,938.48 × 7,102.08
  4. Step 4: Simplify right side
    9,298.80x = 98,992,200.04
  5. Step 5: Solve for x
    x = 98,992,200.04/9,298.80
  6. Step 6: Final answer
    x = 10,645.70

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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.