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Finding the Fourth Proportional to 9,610.78, 13,264.16 and 5,633.47

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Solution

The fourth proportional to 9,610.78, 13,264.16 and 5,633.47 is: 7,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.78 : 13,264.16 = 5,633.47 : x
  2. Step 2: Convert to fraction form
    9,610.78/13,264.16 = 5,633.47/x
  3. Step 3: Cross multiply
    9,610.78x = 13,264.16 × 5,633.47
  4. Step 4: Simplify right side
    9,610.78x = 74,723,247.44
  5. Step 5: Solve for x
    x = 74,723,247.44/9,610.78
  6. Step 6: Final answer
    x = 7,774.94

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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.