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Finding the Fourth Proportional to 9,228.24, 13,842 and 2,654.40

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Solution

The fourth proportional to 9,228.24, 13,842 and 2,654.40 is: 3,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.24 : 13,842 = 2,654.40 : x
  2. Step 2: Convert to fraction form
    9,228.24/13,842 = 2,654.40/x
  3. Step 3: Cross multiply
    9,228.24x = 13,842 × 2,654.40
  4. Step 4: Simplify right side
    9,228.24x = 36,742,204.80
  5. Step 5: Solve for x
    x = 36,742,204.80/9,228.24
  6. Step 6: Final answer
    x = 3,981.50

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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.