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Finding the Fourth Proportional to 7,644.79, 10,548.93 and 4,287.61

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Solution

The fourth proportional to 7,644.79, 10,548.93 and 4,287.61 is: 5,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.79 : 10,548.93 = 4,287.61 : x
  2. Step 2: Convert to fraction form
    7,644.79/10,548.93 = 4,287.61/x
  3. Step 3: Cross multiply
    7,644.79x = 10,548.93 × 4,287.61
  4. Step 4: Simplify right side
    7,644.79x = 45,229,697.76
  5. Step 5: Solve for x
    x = 45,229,697.76/7,644.79
  6. Step 6: Final answer
    x = 5,916.41

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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.