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Finding the Fourth Proportional to 6,986.64, 9,633.64 and 5,094.88

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Solution

The fourth proportional to 6,986.64, 9,633.64 and 5,094.88 is: 7,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.64 : 9,633.64 = 5,094.88 : x
  2. Step 2: Convert to fraction form
    6,986.64/9,633.64 = 5,094.88/x
  3. Step 3: Cross multiply
    6,986.64x = 9,633.64 × 5,094.88
  4. Step 4: Simplify right side
    6,986.64x = 49,082,239.76
  5. Step 5: Solve for x
    x = 49,082,239.76/6,986.64
  6. Step 6: Final answer
    x = 7,025.16

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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.