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Finding the Fourth Proportional to 9,671.76, 14,508.32 and 3,098.48

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Solution

The fourth proportional to 9,671.76, 14,508.32 and 3,098.48 is: 4,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.76 : 14,508.32 = 3,098.48 : x
  2. Step 2: Convert to fraction form
    9,671.76/14,508.32 = 3,098.48/x
  3. Step 3: Cross multiply
    9,671.76x = 14,508.32 × 3,098.48
  4. Step 4: Simplify right side
    9,671.76x = 44,953,651.32
  5. Step 5: Solve for x
    x = 44,953,651.32/9,671.76
  6. Step 6: Final answer
    x = 4,647.93

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1.5x scale

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.