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Finding the Fourth Proportional to 9,420.75, 13,001.04 and 5,229

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Solution

The fourth proportional to 9,420.75, 13,001.04 and 5,229 is: 7,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.75 : 13,001.04 = 5,229 : x
  2. Step 2: Convert to fraction form
    9,420.75/13,001.04 = 5,229/x
  3. Step 3: Cross multiply
    9,420.75x = 13,001.04 × 5,229
  4. Step 4: Simplify right side
    9,420.75x = 67,982,438.16
  5. Step 5: Solve for x
    x = 67,982,438.16/9,420.75
  6. Step 6: Final answer
    x = 7,216.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.