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Finding the Fourth Proportional to 9,281.54, 13,922.31 and 4,347.57

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Solution

The fourth proportional to 9,281.54, 13,922.31 and 4,347.57 is: 6,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.54 : 13,922.31 = 4,347.57 : x
  2. Step 2: Convert to fraction form
    9,281.54/13,922.31 = 4,347.57/x
  3. Step 3: Cross multiply
    9,281.54x = 13,922.31 × 4,347.57
  4. Step 4: Simplify right side
    9,281.54x = 60,528,249.12
  5. Step 5: Solve for x
    x = 60,528,249.12/9,281.54
  6. Step 6: Final answer
    x = 6,521.36

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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.