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Finding the Fourth Proportional to 6,862.76, 9,460.50 and 5,916.68

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Solution

The fourth proportional to 6,862.76, 9,460.50 and 5,916.68 is: 8,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.76 : 9,460.50 = 5,916.68 : x
  2. Step 2: Convert to fraction form
    6,862.76/9,460.50 = 5,916.68/x
  3. Step 3: Cross multiply
    6,862.76x = 9,460.50 × 5,916.68
  4. Step 4: Simplify right side
    6,862.76x = 55,974,751.14
  5. Step 5: Solve for x
    x = 55,974,751.14/6,862.76
  6. Step 6: Final answer
    x = 8,156.30

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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.