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Finding the Fourth Proportional to 7,143.78, 9,848.26 and 5,252.02

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Solution

The fourth proportional to 7,143.78, 9,848.26 and 5,252.02 is: 7,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.78 : 9,848.26 = 5,252.02 : x
  2. Step 2: Convert to fraction form
    7,143.78/9,848.26 = 5,252.02/x
  3. Step 3: Cross multiply
    7,143.78x = 9,848.26 × 5,252.02
  4. Step 4: Simplify right side
    7,143.78x = 51,723,258.49
  5. Step 5: Solve for x
    x = 51,723,258.49/7,143.78
  6. Step 6: Final answer
    x = 7,240.32

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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.