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Finding the Fourth Proportional to 6,036.84, 9,054.95 and 1,654.00

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Solution

The fourth proportional to 6,036.84, 9,054.95 and 1,654.00 is: 2,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.84 : 9,054.95 = 1,654.00 : x
  2. Step 2: Convert to fraction form
    6,036.84/9,054.95 = 1,654.00/x
  3. Step 3: Cross multiply
    6,036.84x = 9,054.95 × 1,654.00
  4. Step 4: Simplify right side
    6,036.84x = 14,976,856.39
  5. Step 5: Solve for x
    x = 14,976,856.39/6,036.84
  6. Step 6: Final answer
    x = 2,480.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.