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Finding the Fourth Proportional to 9,104.25, 13,658.54 and 2,948.25

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Solution

The fourth proportional to 9,104.25, 13,658.54 and 2,948.25 is: 4,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.25 : 13,658.54 = 2,948.25 : x
  2. Step 2: Convert to fraction form
    9,104.25/13,658.54 = 2,948.25/x
  3. Step 3: Cross multiply
    9,104.25x = 13,658.54 × 2,948.25
  4. Step 4: Simplify right side
    9,104.25x = 40,268,775.81
  5. Step 5: Solve for x
    x = 40,268,775.81/9,104.25
  6. Step 6: Final answer
    x = 4,423.07

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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.