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Finding the Fourth Proportional to 9,910.48, 13,671.84 and 5,931.22

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Solution

The fourth proportional to 9,910.48, 13,671.84 and 5,931.22 is: 8,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.48 : 13,671.84 = 5,931.22 : x
  2. Step 2: Convert to fraction form
    9,910.48/13,671.84 = 5,931.22/x
  3. Step 3: Cross multiply
    9,910.48x = 13,671.84 × 5,931.22
  4. Step 4: Simplify right side
    9,910.48x = 81,090,690.84
  5. Step 5: Solve for x
    x = 81,090,690.84/9,910.48
  6. Step 6: Final answer
    x = 8,182.32

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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.