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Finding the Fourth Proportional to 7,848.64, 10,832.16 and 5,062.24

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Solution

The fourth proportional to 7,848.64, 10,832.16 and 5,062.24 is: 6,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.64 : 10,832.16 = 5,062.24 : x
  2. Step 2: Convert to fraction form
    7,848.64/10,832.16 = 5,062.24/x
  3. Step 3: Cross multiply
    7,848.64x = 10,832.16 × 5,062.24
  4. Step 4: Simplify right side
    7,848.64x = 54,834,993.64
  5. Step 5: Solve for x
    x = 54,834,993.64/7,848.64
  6. Step 6: Final answer
    x = 6,986.56

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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.