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Finding the Fourth Proportional to 4,862.81, 7,256.27 and 4,339.22

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Solution

The fourth proportional to 4,862.81, 7,256.27 and 4,339.22 is: 6,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.81 : 7,256.27 = 4,339.22 : x
  2. Step 2: Convert to fraction form
    4,862.81/7,256.27 = 4,339.22/x
  3. Step 3: Cross multiply
    4,862.81x = 7,256.27 × 4,339.22
  4. Step 4: Simplify right side
    4,862.81x = 31,486,526.48
  5. Step 5: Solve for x
    x = 31,486,526.48/4,862.81
  6. Step 6: Final answer
    x = 6,474.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.