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Finding the Fourth Proportional to 9,253.55, 12,760.93 and 7,837.13

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Solution

The fourth proportional to 9,253.55, 12,760.93 and 7,837.13 is: 10,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.55 : 12,760.93 = 7,837.13 : x
  2. Step 2: Convert to fraction form
    9,253.55/12,760.93 = 7,837.13/x
  3. Step 3: Cross multiply
    9,253.55x = 12,760.93 × 7,837.13
  4. Step 4: Simplify right side
    9,253.55x = 100,009,067.33
  5. Step 5: Solve for x
    x = 100,009,067.33/9,253.55
  6. Step 6: Final answer
    x = 10,807.64

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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.