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Finding the Fourth Proportional to 9,803.76, 13,523.28 and 5,822.28

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Solution

The fourth proportional to 9,803.76, 13,523.28 and 5,822.28 is: 8,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.76 : 13,523.28 = 5,822.28 : x
  2. Step 2: Convert to fraction form
    9,803.76/13,523.28 = 5,822.28/x
  3. Step 3: Cross multiply
    9,803.76x = 13,523.28 × 5,822.28
  4. Step 4: Simplify right side
    9,803.76x = 78,736,322.68
  5. Step 5: Solve for x
    x = 78,736,322.68/9,803.76
  6. Step 6: Final answer
    x = 8,031.24

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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.