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Finding the Fourth Proportional to 9,024, 12,454.56 and 5,297.28

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Solution

The fourth proportional to 9,024, 12,454.56 and 5,297.28 is: 7,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024 : 12,454.56 = 5,297.28 : x
  2. Step 2: Convert to fraction form
    9,024/12,454.56 = 5,297.28/x
  3. Step 3: Cross multiply
    9,024x = 12,454.56 × 5,297.28
  4. Step 4: Simplify right side
    9,024x = 65,975,291.60
  5. Step 5: Solve for x
    x = 65,975,291.60/9,024
  6. Step 6: Final answer
    x = 7,311.09

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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.