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Finding the Fourth Proportional to 9,775.74, 13,490.17 and 5,794.50

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Solution

The fourth proportional to 9,775.74, 13,490.17 and 5,794.50 is: 7,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.74 : 13,490.17 = 5,794.50 : x
  2. Step 2: Convert to fraction form
    9,775.74/13,490.17 = 5,794.50/x
  3. Step 3: Cross multiply
    9,775.74x = 13,490.17 × 5,794.50
  4. Step 4: Simplify right side
    9,775.74x = 78,168,790.07
  5. Step 5: Solve for x
    x = 78,168,790.07/9,775.74
  6. Step 6: Final answer
    x = 7,996.20

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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.