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Finding the Fourth Proportional to 9,245.90, 13,854.24 and 7,506.02

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Solution

The fourth proportional to 9,245.90, 13,854.24 and 7,506.02 is: 11,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.90 : 13,854.24 = 7,506.02 : x
  2. Step 2: Convert to fraction form
    9,245.90/13,854.24 = 7,506.02/x
  3. Step 3: Cross multiply
    9,245.90x = 13,854.24 × 7,506.02
  4. Step 4: Simplify right side
    9,245.90x = 103,990,202.52
  5. Step 5: Solve for x
    x = 103,990,202.52/9,245.90
  6. Step 6: Final answer
    x = 11,247.17

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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.