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Finding the Fourth Proportional to 6,969, 9,616.98 and 3,782.16

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Solution

The fourth proportional to 6,969, 9,616.98 and 3,782.16 is: 5,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969 : 9,616.98 = 3,782.16 : x
  2. Step 2: Convert to fraction form
    6,969/9,616.98 = 3,782.16/x
  3. Step 3: Cross multiply
    6,969x = 9,616.98 × 3,782.16
  4. Step 4: Simplify right side
    6,969x = 36,372,957.08
  5. Step 5: Solve for x
    x = 36,372,957.08/6,969
  6. Step 6: Final answer
    x = 5,219.25

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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.