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Finding the Fourth Proportional to 4,642.70, 6,397.50 and 4,314.64

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Solution

The fourth proportional to 4,642.70, 6,397.50 and 4,314.64 is: 5,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.70 : 6,397.50 = 4,314.64 : x
  2. Step 2: Convert to fraction form
    4,642.70/6,397.50 = 4,314.64/x
  3. Step 3: Cross multiply
    4,642.70x = 6,397.50 × 4,314.64
  4. Step 4: Simplify right side
    4,642.70x = 27,602,909.40
  5. Step 5: Solve for x
    x = 27,602,909.40/4,642.70
  6. Step 6: Final answer
    x = 5,945.44

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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.