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Finding the Fourth Proportional to 6,965.98, 9,602.12 and 5,280.64

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Solution

The fourth proportional to 6,965.98, 9,602.12 and 5,280.64 is: 7,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.98 : 9,602.12 = 5,280.64 : x
  2. Step 2: Convert to fraction form
    6,965.98/9,602.12 = 5,280.64/x
  3. Step 3: Cross multiply
    6,965.98x = 9,602.12 × 5,280.64
  4. Step 4: Simplify right side
    6,965.98x = 50,705,338.96
  5. Step 5: Solve for x
    x = 50,705,338.96/6,965.98
  6. Step 6: Final answer
    x = 7,279.00

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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.