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Finding the Fourth Proportional to 6,986.64, 9,642.94 and 4,004.48

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Solution

The fourth proportional to 6,986.64, 9,642.94 and 4,004.48 is: 5,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.64 : 9,642.94 = 4,004.48 : x
  2. Step 2: Convert to fraction form
    6,986.64/9,642.94 = 4,004.48/x
  3. Step 3: Cross multiply
    6,986.64x = 9,642.94 × 4,004.48
  4. Step 4: Simplify right side
    6,986.64x = 38,614,894.64
  5. Step 5: Solve for x
    x = 38,614,894.64/6,986.64
  6. Step 6: Final answer
    x = 5,526.96

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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.