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Finding the Fourth Proportional to 9,233.56, 12,746.28 and 6,400.36

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Solution

The fourth proportional to 9,233.56, 12,746.28 and 6,400.36 is: 8,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.56 : 12,746.28 = 6,400.36 : x
  2. Step 2: Convert to fraction form
    9,233.56/12,746.28 = 6,400.36/x
  3. Step 3: Cross multiply
    9,233.56x = 12,746.28 × 6,400.36
  4. Step 4: Simplify right side
    9,233.56x = 81,580,780.66
  5. Step 5: Solve for x
    x = 81,580,780.66/9,233.56
  6. Step 6: Final answer
    x = 8,835.25

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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.