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Finding the Fourth Proportional to 11,775.65, 16,248.82 and 7,297.76

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Solution

The fourth proportional to 11,775.65, 16,248.82 and 7,297.76 is: 10,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.65 : 16,248.82 = 7,297.76 : x
  2. Step 2: Convert to fraction form
    11,775.65/16,248.82 = 7,297.76/x
  3. Step 3: Cross multiply
    11,775.65x = 16,248.82 × 7,297.76
  4. Step 4: Simplify right side
    11,775.65x = 118,580,024.70
  5. Step 5: Solve for x
    x = 118,580,024.70/11,775.65
  6. Step 6: Final answer
    x = 10,069.94

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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.