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Finding the Fourth Proportional to 8,537.65, 11,775.09 and 5,348.05

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Solution

The fourth proportional to 8,537.65, 11,775.09 and 5,348.05 is: 7,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.65 : 11,775.09 = 5,348.05 : x
  2. Step 2: Convert to fraction form
    8,537.65/11,775.09 = 5,348.05/x
  3. Step 3: Cross multiply
    8,537.65x = 11,775.09 × 5,348.05
  4. Step 4: Simplify right side
    8,537.65x = 62,973,770.07
  5. Step 5: Solve for x
    x = 62,973,770.07/8,537.65
  6. Step 6: Final answer
    x = 7,376.01

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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.