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Finding the Fourth Proportional to 14,031.70, 19,363.85 and 7,658.34

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Solution

The fourth proportional to 14,031.70, 19,363.85 and 7,658.34 is: 10,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.70 : 19,363.85 = 7,658.34 : x
  2. Step 2: Convert to fraction form
    14,031.70/19,363.85 = 7,658.34/x
  3. Step 3: Cross multiply
    14,031.70x = 19,363.85 × 7,658.34
  4. Step 4: Simplify right side
    14,031.70x = 148,294,947.01
  5. Step 5: Solve for x
    x = 148,294,947.01/14,031.70
  6. Step 6: Final answer
    x = 10,568.57

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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.