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Finding the Fourth Proportional to 9,598.96, 13,247.23 and 5,822.28

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Solution

The fourth proportional to 9,598.96, 13,247.23 and 5,822.28 is: 8,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.96 : 13,247.23 = 5,822.28 : x
  2. Step 2: Convert to fraction form
    9,598.96/13,247.23 = 5,822.28/x
  3. Step 3: Cross multiply
    9,598.96x = 13,247.23 × 5,822.28
  4. Step 4: Simplify right side
    9,598.96x = 77,129,082.28
  5. Step 5: Solve for x
    x = 77,129,082.28/9,598.96
  6. Step 6: Final answer
    x = 8,035.15

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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.