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Finding the Fourth Proportional to 9,748.48, 13,446.48 and 6,206.08

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Solution

The fourth proportional to 9,748.48, 13,446.48 and 6,206.08 is: 8,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.48 : 13,446.48 = 6,206.08 : x
  2. Step 2: Convert to fraction form
    9,748.48/13,446.48 = 6,206.08/x
  3. Step 3: Cross multiply
    9,748.48x = 13,446.48 × 6,206.08
  4. Step 4: Simplify right side
    9,748.48x = 83,449,930.60
  5. Step 5: Solve for x
    x = 83,449,930.60/9,748.48
  6. Step 6: Final answer
    x = 8,560.30

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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.