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Finding the Fourth Proportional to 7,166.88, 9,888.48 and 4,180.82

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Solution

The fourth proportional to 7,166.88, 9,888.48 and 4,180.82 is: 5,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.88 : 9,888.48 = 4,180.82 : x
  2. Step 2: Convert to fraction form
    7,166.88/9,888.48 = 4,180.82/x
  3. Step 3: Cross multiply
    7,166.88x = 9,888.48 × 4,180.82
  4. Step 4: Simplify right side
    7,166.88x = 41,341,905.51
  5. Step 5: Solve for x
    x = 41,341,905.51/7,166.88
  6. Step 6: Final answer
    x = 5,768.47

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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.