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Finding the Fourth Proportional to 9,237.78, 12,751.83 and 6,101.46

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Solution

The fourth proportional to 9,237.78, 12,751.83 and 6,101.46 is: 8,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.78 : 12,751.83 = 6,101.46 : x
  2. Step 2: Convert to fraction form
    9,237.78/12,751.83 = 6,101.46/x
  3. Step 3: Cross multiply
    9,237.78x = 12,751.83 × 6,101.46
  4. Step 4: Simplify right side
    9,237.78x = 77,804,780.67
  5. Step 5: Solve for x
    x = 77,804,780.67/9,237.78
  6. Step 6: Final answer
    x = 8,422.45

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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.