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Finding the Fourth Proportional to 9,023.64, 13,523.94 and 7,848.78

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Solution

The fourth proportional to 9,023.64, 13,523.94 and 7,848.78 is: 11,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.64 : 13,523.94 = 7,848.78 : x
  2. Step 2: Convert to fraction form
    9,023.64/13,523.94 = 7,848.78/x
  3. Step 3: Cross multiply
    9,023.64x = 13,523.94 × 7,848.78
  4. Step 4: Simplify right side
    9,023.64x = 106,146,429.79
  5. Step 5: Solve for x
    x = 106,146,429.79/9,023.64
  6. Step 6: Final answer
    x = 11,763.15

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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.