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Finding the Fourth Proportional to 9,910.32, 13,671 and 6,186.48

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Solution

The fourth proportional to 9,910.32, 13,671 and 6,186.48 is: 8,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.32 : 13,671 = 6,186.48 : x
  2. Step 2: Convert to fraction form
    9,910.32/13,671 = 6,186.48/x
  3. Step 3: Cross multiply
    9,910.32x = 13,671 × 6,186.48
  4. Step 4: Simplify right side
    9,910.32x = 84,575,368.08
  5. Step 5: Solve for x
    x = 84,575,368.08/9,910.32
  6. Step 6: Final answer
    x = 8,534.07

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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.