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Finding the Fourth Proportional to 6,805.59, 10,206.83 and 1,875.66

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Solution

The fourth proportional to 6,805.59, 10,206.83 and 1,875.66 is: 2,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.59 : 10,206.83 = 1,875.66 : x
  2. Step 2: Convert to fraction form
    6,805.59/10,206.83 = 1,875.66/x
  3. Step 3: Cross multiply
    6,805.59x = 10,206.83 × 1,875.66
  4. Step 4: Simplify right side
    6,805.59x = 19,144,533.38
  5. Step 5: Solve for x
    x = 19,144,533.38/6,805.59
  6. Step 6: Final answer
    x = 2,813.06

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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.