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Finding the Fourth Proportional to 9,671.91, 13,347.23 and 5,695.46

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Solution

The fourth proportional to 9,671.91, 13,347.23 and 5,695.46 is: 7,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.91 : 13,347.23 = 5,695.46 : x
  2. Step 2: Convert to fraction form
    9,671.91/13,347.23 = 5,695.46/x
  3. Step 3: Cross multiply
    9,671.91x = 13,347.23 × 5,695.46
  4. Step 4: Simplify right side
    9,671.91x = 76,018,676.53
  5. Step 5: Solve for x
    x = 76,018,676.53/9,671.91
  6. Step 6: Final answer
    x = 7,859.74

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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.