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Finding the Fourth Proportional to 9,223.04, 13,837.80 and 5,756.24

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Solution

The fourth proportional to 9,223.04, 13,837.80 and 5,756.24 is: 8,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.04 : 13,837.80 = 5,756.24 : x
  2. Step 2: Convert to fraction form
    9,223.04/13,837.80 = 5,756.24/x
  3. Step 3: Cross multiply
    9,223.04x = 13,837.80 × 5,756.24
  4. Step 4: Simplify right side
    9,223.04x = 79,653,697.87
  5. Step 5: Solve for x
    x = 79,653,697.87/9,223.04
  6. Step 6: Final answer
    x = 8,636.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.