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Finding the Fourth Proportional to 7,602.74, 10,489.42 and 4,245.08

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Solution

The fourth proportional to 7,602.74, 10,489.42 and 4,245.08 is: 5,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.74 : 10,489.42 = 4,245.08 : x
  2. Step 2: Convert to fraction form
    7,602.74/10,489.42 = 4,245.08/x
  3. Step 3: Cross multiply
    7,602.74x = 10,489.42 × 4,245.08
  4. Step 4: Simplify right side
    7,602.74x = 44,528,427.05
  5. Step 5: Solve for x
    x = 44,528,427.05/7,602.74
  6. Step 6: Final answer
    x = 5,856.89

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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.