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Finding the Fourth Proportional to 6,502.71, 8,974.74 and 4,271.07

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Solution

The fourth proportional to 6,502.71, 8,974.74 and 4,271.07 is: 5,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.71 : 8,974.74 = 4,271.07 : x
  2. Step 2: Convert to fraction form
    6,502.71/8,974.74 = 4,271.07/x
  3. Step 3: Cross multiply
    6,502.71x = 8,974.74 × 4,271.07
  4. Step 4: Simplify right side
    6,502.71x = 38,331,742.77
  5. Step 5: Solve for x
    x = 38,331,742.77/6,502.71
  6. Step 6: Final answer
    x = 5,894.73

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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.