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Finding the Fourth Proportional to 7,642.59, 10,548.65 and 4,660.07

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Solution

The fourth proportional to 7,642.59, 10,548.65 and 4,660.07 is: 6,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.59 : 10,548.65 = 4,660.07 : x
  2. Step 2: Convert to fraction form
    7,642.59/10,548.65 = 4,660.07/x
  3. Step 3: Cross multiply
    7,642.59x = 10,548.65 × 4,660.07
  4. Step 4: Simplify right side
    7,642.59x = 49,157,371.36
  5. Step 5: Solve for x
    x = 49,157,371.36/7,642.59
  6. Step 6: Final answer
    x = 6,432.03

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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.