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Finding the Fourth Proportional to 7,677.96, 10,601.74 and 4,990.51

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Solution

The fourth proportional to 7,677.96, 10,601.74 and 4,990.51 is: 6,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.96 : 10,601.74 = 4,990.51 : x
  2. Step 2: Convert to fraction form
    7,677.96/10,601.74 = 4,990.51/x
  3. Step 3: Cross multiply
    7,677.96x = 10,601.74 × 4,990.51
  4. Step 4: Simplify right side
    7,677.96x = 52,908,089.49
  5. Step 5: Solve for x
    x = 52,908,089.49/7,677.96
  6. Step 6: Final answer
    x = 6,890.90

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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.