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Finding the Fourth Proportional to 4,643.52, 6,411.06 and 2,877

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Solution

The fourth proportional to 4,643.52, 6,411.06 and 2,877 is: 3,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.52 : 6,411.06 = 2,877 : x
  2. Step 2: Convert to fraction form
    4,643.52/6,411.06 = 2,877/x
  3. Step 3: Cross multiply
    4,643.52x = 6,411.06 × 2,877
  4. Step 4: Simplify right side
    4,643.52x = 18,444,619.62
  5. Step 5: Solve for x
    x = 18,444,619.62/4,643.52
  6. Step 6: Final answer
    x = 3,972.12

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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.