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Finding the Fourth Proportional to 4,642.76, 6,404.63 and 3,049.18

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Solution

The fourth proportional to 4,642.76, 6,404.63 and 3,049.18 is: 4,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.76 : 6,404.63 = 3,049.18 : x
  2. Step 2: Convert to fraction form
    4,642.76/6,404.63 = 3,049.18/x
  3. Step 3: Cross multiply
    4,642.76x = 6,404.63 × 3,049.18
  4. Step 4: Simplify right side
    4,642.76x = 19,528,838.45
  5. Step 5: Solve for x
    x = 19,528,838.45/4,642.76
  6. Step 6: Final answer
    x = 4,206.30

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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.