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Finding the Fourth Proportional to 9,135.91, 12,607.54 and 4,944.16

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Solution

The fourth proportional to 9,135.91, 12,607.54 and 4,944.16 is: 6,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.91 : 12,607.54 = 4,944.16 : x
  2. Step 2: Convert to fraction form
    9,135.91/12,607.54 = 4,944.16/x
  3. Step 3: Cross multiply
    9,135.91x = 12,607.54 × 4,944.16
  4. Step 4: Simplify right side
    9,135.91x = 62,333,694.97
  5. Step 5: Solve for x
    x = 62,333,694.97/9,135.91
  6. Step 6: Final answer
    x = 6,822.93

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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.