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Finding the Fourth Proportional to 4,976.76, 7,460.06 and 1,688.92

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Solution

The fourth proportional to 4,976.76, 7,460.06 and 1,688.92 is: 2,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.76 : 7,460.06 = 1,688.92 : x
  2. Step 2: Convert to fraction form
    4,976.76/7,460.06 = 1,688.92/x
  3. Step 3: Cross multiply
    4,976.76x = 7,460.06 × 1,688.92
  4. Step 4: Simplify right side
    4,976.76x = 12,599,444.54
  5. Step 5: Solve for x
    x = 12,599,444.54/4,976.76
  6. Step 6: Final answer
    x = 2,531.66

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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.