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Finding the Fourth Proportional to 14,148.57, 19,524.99 and 7,775.59

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Solution

The fourth proportional to 14,148.57, 19,524.99 and 7,775.59 is: 10,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.57 : 19,524.99 = 7,775.59 : x
  2. Step 2: Convert to fraction form
    14,148.57/19,524.99 = 7,775.59/x
  3. Step 3: Cross multiply
    14,148.57x = 19,524.99 × 7,775.59
  4. Step 4: Simplify right side
    14,148.57x = 151,818,312.24
  5. Step 5: Solve for x
    x = 151,818,312.24/14,148.57
  6. Step 6: Final answer
    x = 10,730.29

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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.