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Finding the Fourth Proportional to 9,671.56, 14,507.48 and 2,746.08

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Solution

The fourth proportional to 9,671.56, 14,507.48 and 2,746.08 is: 4,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.56 : 14,507.48 = 2,746.08 : x
  2. Step 2: Convert to fraction form
    9,671.56/14,507.48 = 2,746.08/x
  3. Step 3: Cross multiply
    9,671.56x = 14,507.48 × 2,746.08
  4. Step 4: Simplify right side
    9,671.56x = 39,838,700.68
  5. Step 5: Solve for x
    x = 39,838,700.68/9,671.56
  6. Step 6: Final answer
    x = 4,119.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.