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Finding the Fourth Proportional to 9,793.06, 13,505.74 and 7,904.05

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Solution

The fourth proportional to 9,793.06, 13,505.74 and 7,904.05 is: 10,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.06 : 13,505.74 = 7,904.05 : x
  2. Step 2: Convert to fraction form
    9,793.06/13,505.74 = 7,904.05/x
  3. Step 3: Cross multiply
    9,793.06x = 13,505.74 × 7,904.05
  4. Step 4: Simplify right side
    9,793.06x = 106,750,044.25
  5. Step 5: Solve for x
    x = 106,750,044.25/9,793.06
  6. Step 6: Final answer
    x = 10,900.58

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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.