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Finding the Fourth Proportional to 9,803.31, 13,527.05 and 5,824.32

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Solution

The fourth proportional to 9,803.31, 13,527.05 and 5,824.32 is: 8,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.31 : 13,527.05 = 5,824.32 : x
  2. Step 2: Convert to fraction form
    9,803.31/13,527.05 = 5,824.32/x
  3. Step 3: Cross multiply
    9,803.31x = 13,527.05 × 5,824.32
  4. Step 4: Simplify right side
    9,803.31x = 78,785,838.73
  5. Step 5: Solve for x
    x = 78,785,838.73/9,803.31
  6. Step 6: Final answer
    x = 8,036.66

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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.