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Finding the Fourth Proportional to 6,965.60, 9,602.75 and 5,899.10

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Solution

The fourth proportional to 6,965.60, 9,602.75 and 5,899.10 is: 8,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.60 : 9,602.75 = 5,899.10 : x
  2. Step 2: Convert to fraction form
    6,965.60/9,602.75 = 5,899.10/x
  3. Step 3: Cross multiply
    6,965.60x = 9,602.75 × 5,899.10
  4. Step 4: Simplify right side
    6,965.60x = 56,647,549.26
  5. Step 5: Solve for x
    x = 56,647,549.26/6,965.60
  6. Step 6: Final answer
    x = 8,132.48

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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.