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Finding the Fourth Proportional to 4,700.84, 6,439.33 and 4,649

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Solution

The fourth proportional to 4,700.84, 6,439.33 and 4,649 is: 6,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.84 : 6,439.33 = 4,649 : x
  2. Step 2: Convert to fraction form
    4,700.84/6,439.33 = 4,649/x
  3. Step 3: Cross multiply
    4,700.84x = 6,439.33 × 4,649
  4. Step 4: Simplify right side
    4,700.84x = 29,936,445.17
  5. Step 5: Solve for x
    x = 29,936,445.17/4,700.84
  6. Step 6: Final answer
    x = 6,368.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.