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Finding the Fourth Proportional to 12,974.68, 19,461.06 and 7,410.52

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Solution

The fourth proportional to 12,974.68, 19,461.06 and 7,410.52 is: 11,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.68 : 19,461.06 = 7,410.52 : x
  2. Step 2: Convert to fraction form
    12,974.68/19,461.06 = 7,410.52/x
  3. Step 3: Cross multiply
    12,974.68x = 19,461.06 × 7,410.52
  4. Step 4: Simplify right side
    12,974.68x = 144,216,574.35
  5. Step 5: Solve for x
    x = 144,216,574.35/12,974.68
  6. Step 6: Final answer
    x = 11,115.23

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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.