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Finding the Fourth Proportional to 27,053.16, 40,580.16 and 9,523.20

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Solution

The fourth proportional to 27,053.16, 40,580.16 and 9,523.20 is: 14,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,053.16 : 40,580.16 = 9,523.20 : x
  2. Step 2: Convert to fraction form
    27,053.16/40,580.16 = 9,523.20/x
  3. Step 3: Cross multiply
    27,053.16x = 40,580.16 × 9,523.20
  4. Step 4: Simplify right side
    27,053.16x = 386,452,979.71
  5. Step 5: Solve for x
    x = 386,452,979.71/27,053.16
  6. Step 6: Final answer
    x = 14,284.95

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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.