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Finding the Fourth Proportional to 27,104.58, 40,647.74 and 9,089.16

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Solution

The fourth proportional to 27,104.58, 40,647.74 and 9,089.16 is: 13,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104.58 : 40,647.74 = 9,089.16 : x
  2. Step 2: Convert to fraction form
    27,104.58/40,647.74 = 9,089.16/x
  3. Step 3: Cross multiply
    27,104.58x = 40,647.74 × 9,089.16
  4. Step 4: Simplify right side
    27,104.58x = 369,453,812.50
  5. Step 5: Solve for x
    x = 369,453,812.50/27,104.58
  6. Step 6: Final answer
    x = 13,630.68

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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.