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Finding the Fourth Proportional to 7,505.89, 10,358.10 and 4,193.89

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Solution

The fourth proportional to 7,505.89, 10,358.10 and 4,193.89 is: 5,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.89 : 10,358.10 = 4,193.89 : x
  2. Step 2: Convert to fraction form
    7,505.89/10,358.10 = 4,193.89/x
  3. Step 3: Cross multiply
    7,505.89x = 10,358.10 × 4,193.89
  4. Step 4: Simplify right side
    7,505.89x = 43,440,732.01
  5. Step 5: Solve for x
    x = 43,440,732.01/7,505.89
  6. Step 6: Final answer
    x = 5,787.55

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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.