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Finding the Fourth Proportional to 19,535.46, 29,303.19 and 12,974.46

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Solution

The fourth proportional to 19,535.46, 29,303.19 and 12,974.46 is: 19,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.46 : 29,303.19 = 12,974.46 : x
  2. Step 2: Convert to fraction form
    19,535.46/29,303.19 = 12,974.46/x
  3. Step 3: Cross multiply
    19,535.46x = 29,303.19 × 12,974.46
  4. Step 4: Simplify right side
    19,535.46x = 380,193,066.53
  5. Step 5: Solve for x
    x = 380,193,066.53/19,535.46
  6. Step 6: Final answer
    x = 19,461.69

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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.