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Finding the Fourth Proportional to 9,883.44, 13,644.08 and 7,640.24

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Solution

The fourth proportional to 9,883.44, 13,644.08 and 7,640.24 is: 10,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.44 : 13,644.08 = 7,640.24 : x
  2. Step 2: Convert to fraction form
    9,883.44/13,644.08 = 7,640.24/x
  3. Step 3: Cross multiply
    9,883.44x = 13,644.08 × 7,640.24
  4. Step 4: Simplify right side
    9,883.44x = 104,244,045.78
  5. Step 5: Solve for x
    x = 104,244,045.78/9,883.44
  6. Step 6: Final answer
    x = 10,547.34

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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.