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Finding the Fourth Proportional to 22,811.53, 34,206.87 and 7,011.06

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Solution

The fourth proportional to 22,811.53, 34,206.87 and 7,011.06 is: 10,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.53 : 34,206.87 = 7,011.06 : x
  2. Step 2: Convert to fraction form
    22,811.53/34,206.87 = 7,011.06/x
  3. Step 3: Cross multiply
    22,811.53x = 34,206.87 × 7,011.06
  4. Step 4: Simplify right side
    22,811.53x = 239,826,417.98
  5. Step 5: Solve for x
    x = 239,826,417.98/22,811.53
  6. Step 6: Final answer
    x = 10,513.39

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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.