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Finding the Fourth Proportional to 7,049.44, 9,722.16 and 4,394.08

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Solution

The fourth proportional to 7,049.44, 9,722.16 and 4,394.08 is: 6,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.44 : 9,722.16 = 4,394.08 : x
  2. Step 2: Convert to fraction form
    7,049.44/9,722.16 = 4,394.08/x
  3. Step 3: Cross multiply
    7,049.44x = 9,722.16 × 4,394.08
  4. Step 4: Simplify right side
    7,049.44x = 42,719,948.81
  5. Step 5: Solve for x
    x = 42,719,948.81/7,049.44
  6. Step 6: Final answer
    x = 6,060.05

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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.