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Finding the Fourth Proportional to 6,490.76, 9,776.03 and 6,034.48

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Solution

The fourth proportional to 6,490.76, 9,776.03 and 6,034.48 is: 9,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.76 : 9,776.03 = 6,034.48 : x
  2. Step 2: Convert to fraction form
    6,490.76/9,776.03 = 6,034.48/x
  3. Step 3: Cross multiply
    6,490.76x = 9,776.03 × 6,034.48
  4. Step 4: Simplify right side
    6,490.76x = 58,993,257.51
  5. Step 5: Solve for x
    x = 58,993,257.51/6,490.76
  6. Step 6: Final answer
    x = 9,088.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.