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Finding the Fourth Proportional to 9,406.55, 12,981.06 and 5,214.80

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Solution

The fourth proportional to 9,406.55, 12,981.06 and 5,214.80 is: 7,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.55 : 12,981.06 = 5,214.80 : x
  2. Step 2: Convert to fraction form
    9,406.55/12,981.06 = 5,214.80/x
  3. Step 3: Cross multiply
    9,406.55x = 12,981.06 × 5,214.80
  4. Step 4: Simplify right side
    9,406.55x = 67,693,664.14
  5. Step 5: Solve for x
    x = 67,693,664.14/9,406.55
  6. Step 6: Final answer
    x = 7,196.44

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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.