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Finding the Fourth Proportional to 4,497.94, 6,736.51 and 4,342.24

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Solution

The fourth proportional to 4,497.94, 6,736.51 and 4,342.24 is: 6,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.94 : 6,736.51 = 4,342.24 : x
  2. Step 2: Convert to fraction form
    4,497.94/6,736.51 = 4,342.24/x
  3. Step 3: Cross multiply
    4,497.94x = 6,736.51 × 4,342.24
  4. Step 4: Simplify right side
    4,497.94x = 29,251,543.18
  5. Step 5: Solve for x
    x = 29,251,543.18/4,497.94
  6. Step 6: Final answer
    x = 6,503.32

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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.