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Finding the Fourth Proportional to 27,266.09, 40,900.08 and 7,546.13

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Solution

The fourth proportional to 27,266.09, 40,900.08 and 7,546.13 is: 11,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266.09 : 40,900.08 = 7,546.13 : x
  2. Step 2: Convert to fraction form
    27,266.09/40,900.08 = 7,546.13/x
  3. Step 3: Cross multiply
    27,266.09x = 40,900.08 × 7,546.13
  4. Step 4: Simplify right side
    27,266.09x = 308,637,116.19
  5. Step 5: Solve for x
    x = 308,637,116.19/27,266.09
  6. Step 6: Final answer
    x = 11,319.45

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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.