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Finding the Fourth Proportional to 4,774.93, 7,164.52 and 1,853.46

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Solution

The fourth proportional to 4,774.93, 7,164.52 and 1,853.46 is: 2,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.93 : 7,164.52 = 1,853.46 : x
  2. Step 2: Convert to fraction form
    4,774.93/7,164.52 = 1,853.46/x
  3. Step 3: Cross multiply
    4,774.93x = 7,164.52 × 1,853.46
  4. Step 4: Simplify right side
    4,774.93x = 13,279,146.61
  5. Step 5: Solve for x
    x = 13,279,146.61/4,774.93
  6. Step 6: Final answer
    x = 2,781.02

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1.5x scale

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.