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Finding the Fourth Proportional to 9,900.10, 14,862.30 and 5,461.30

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Solution

The fourth proportional to 9,900.10, 14,862.30 and 5,461.30 is: 8,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.10 : 14,862.30 = 5,461.30 : x
  2. Step 2: Convert to fraction form
    9,900.10/14,862.30 = 5,461.30/x
  3. Step 3: Cross multiply
    9,900.10x = 14,862.30 × 5,461.30
  4. Step 4: Simplify right side
    9,900.10x = 81,167,478.99
  5. Step 5: Solve for x
    x = 81,167,478.99/9,900.10
  6. Step 6: Final answer
    x = 8,198.65

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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.