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Finding the Fourth Proportional to 27,210.56, 40,807.68 and 9,678.08

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Solution

The fourth proportional to 27,210.56, 40,807.68 and 9,678.08 is: 14,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,210.56 : 40,807.68 = 9,678.08 : x
  2. Step 2: Convert to fraction form
    27,210.56/40,807.68 = 9,678.08/x
  3. Step 3: Cross multiply
    27,210.56x = 40,807.68 × 9,678.08
  4. Step 4: Simplify right side
    27,210.56x = 394,939,991.65
  5. Step 5: Solve for x
    x = 394,939,991.65/27,210.56
  6. Step 6: Final answer
    x = 14,514.22

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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.