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Finding the Fourth Proportional to 27,214.58, 40,823.38 and 8,497.20

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Solution

The fourth proportional to 27,214.58, 40,823.38 and 8,497.20 is: 12,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.58 : 40,823.38 = 8,497.20 : x
  2. Step 2: Convert to fraction form
    27,214.58/40,823.38 = 8,497.20/x
  3. Step 3: Cross multiply
    27,214.58x = 40,823.38 × 8,497.20
  4. Step 4: Simplify right side
    27,214.58x = 346,884,220.42
  5. Step 5: Solve for x
    x = 346,884,220.42/27,214.58
  6. Step 6: Final answer
    x = 12,746.27

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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.