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Finding the Fourth Proportional to 7,154.75, 9,876.18 and 5,383.28

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Solution

The fourth proportional to 7,154.75, 9,876.18 and 5,383.28 is: 7,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.75 : 9,876.18 = 5,383.28 : x
  2. Step 2: Convert to fraction form
    7,154.75/9,876.18 = 5,383.28/x
  3. Step 3: Cross multiply
    7,154.75x = 9,876.18 × 5,383.28
  4. Step 4: Simplify right side
    7,154.75x = 53,166,192.89
  5. Step 5: Solve for x
    x = 53,166,192.89/7,154.75
  6. Step 6: Final answer
    x = 7,430.90

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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.