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Finding the Fourth Proportional to 10,602.02, 15,878.81 and 5,059.26

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Solution

The fourth proportional to 10,602.02, 15,878.81 and 5,059.26 is: 7,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.02 : 15,878.81 = 5,059.26 : x
  2. Step 2: Convert to fraction form
    10,602.02/15,878.81 = 5,059.26/x
  3. Step 3: Cross multiply
    10,602.02x = 15,878.81 × 5,059.26
  4. Step 4: Simplify right side
    10,602.02x = 80,334,952.92
  5. Step 5: Solve for x
    x = 80,334,952.92/10,602.02
  6. Step 6: Final answer
    x = 7,577.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.