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Finding the Fourth Proportional to 9,213, 13,816.98 and 5,512.32

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Solution

The fourth proportional to 9,213, 13,816.98 and 5,512.32 is: 8,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213 : 13,816.98 = 5,512.32 : x
  2. Step 2: Convert to fraction form
    9,213/13,816.98 = 5,512.32/x
  3. Step 3: Cross multiply
    9,213x = 13,816.98 × 5,512.32
  4. Step 4: Simplify right side
    9,213x = 76,163,615.19
  5. Step 5: Solve for x
    x = 76,163,615.19/9,213
  6. Step 6: Final answer
    x = 8,266.97

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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.