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Finding the Fourth Proportional to 9,298.03, 13,942.50 and 6,488.22

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Solution

The fourth proportional to 9,298.03, 13,942.50 and 6,488.22 is: 9,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.03 : 13,942.50 = 6,488.22 : x
  2. Step 2: Convert to fraction form
    9,298.03/13,942.50 = 6,488.22/x
  3. Step 3: Cross multiply
    9,298.03x = 13,942.50 × 6,488.22
  4. Step 4: Simplify right side
    9,298.03x = 90,462,007.35
  5. Step 5: Solve for x
    x = 90,462,007.35/9,298.03
  6. Step 6: Final answer
    x = 9,729.16

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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.