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Finding the Fourth Proportional to 8,537.40, 12,806.13 and 4,151.10

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Solution

The fourth proportional to 8,537.40, 12,806.13 and 4,151.10 is: 6,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.40 : 12,806.13 = 4,151.10 : x
  2. Step 2: Convert to fraction form
    8,537.40/12,806.13 = 4,151.10/x
  3. Step 3: Cross multiply
    8,537.40x = 12,806.13 × 4,151.10
  4. Step 4: Simplify right side
    8,537.40x = 53,159,526.24
  5. Step 5: Solve for x
    x = 53,159,526.24/8,537.40
  6. Step 6: Final answer
    x = 6,226.66

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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.