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Finding the Fourth Proportional to 9,803.52, 13,529.10 and 5,327.22

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Solution

The fourth proportional to 9,803.52, 13,529.10 and 5,327.22 is: 7,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.52 : 13,529.10 = 5,327.22 : x
  2. Step 2: Convert to fraction form
    9,803.52/13,529.10 = 5,327.22/x
  3. Step 3: Cross multiply
    9,803.52x = 13,529.10 × 5,327.22
  4. Step 4: Simplify right side
    9,803.52x = 72,072,492.10
  5. Step 5: Solve for x
    x = 72,072,492.10/9,803.52
  6. Step 6: Final answer
    x = 7,351.70

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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.