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Finding the Fourth Proportional to 9,887.67, 13,646.51 and 5,638.74

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Solution

The fourth proportional to 9,887.67, 13,646.51 and 5,638.74 is: 7,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.67 : 13,646.51 = 5,638.74 : x
  2. Step 2: Convert to fraction form
    9,887.67/13,646.51 = 5,638.74/x
  3. Step 3: Cross multiply
    9,887.67x = 13,646.51 × 5,638.74
  4. Step 4: Simplify right side
    9,887.67x = 76,949,025.37
  5. Step 5: Solve for x
    x = 76,949,025.37/9,887.67
  6. Step 6: Final answer
    x = 7,782.33

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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.