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Finding the Fourth Proportional to 5,666.80, 8,498.99 and 1,769.08

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Solution

The fourth proportional to 5,666.80, 8,498.99 and 1,769.08 is: 2,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.80 : 8,498.99 = 1,769.08 : x
  2. Step 2: Convert to fraction form
    5,666.80/8,498.99 = 1,769.08/x
  3. Step 3: Cross multiply
    5,666.80x = 8,498.99 × 1,769.08
  4. Step 4: Simplify right side
    5,666.80x = 15,035,384.38
  5. Step 5: Solve for x
    x = 15,035,384.38/5,666.80
  6. Step 6: Final answer
    x = 2,653.24

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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.