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Finding the Fourth Proportional to 18,574.12, 27,849.66 and 8,709.16

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Solution

The fourth proportional to 18,574.12, 27,849.66 and 8,709.16 is: 13,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574.12 : 27,849.66 = 8,709.16 : x
  2. Step 2: Convert to fraction form
    18,574.12/27,849.66 = 8,709.16/x
  3. Step 3: Cross multiply
    18,574.12x = 27,849.66 × 8,709.16
  4. Step 4: Simplify right side
    18,574.12x = 242,547,144.89
  5. Step 5: Solve for x
    x = 242,547,144.89/18,574.12
  6. Step 6: Final answer
    x = 13,058.34

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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.