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Finding the Fourth Proportional to 4,071.84, 6,102.84 and 1,877.52

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Solution

The fourth proportional to 4,071.84, 6,102.84 and 1,877.52 is: 2,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.84 : 6,102.84 = 1,877.52 : x
  2. Step 2: Convert to fraction form
    4,071.84/6,102.84 = 1,877.52/x
  3. Step 3: Cross multiply
    4,071.84x = 6,102.84 × 1,877.52
  4. Step 4: Simplify right side
    4,071.84x = 11,458,204.16
  5. Step 5: Solve for x
    x = 11,458,204.16/4,071.84
  6. Step 6: Final answer
    x = 2,814.01

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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.