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Finding the Fourth Proportional to 6,452.81, 9,678.06 and 1,709.00

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Solution

The fourth proportional to 6,452.81, 9,678.06 and 1,709.00 is: 2,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.81 : 9,678.06 = 1,709.00 : x
  2. Step 2: Convert to fraction form
    6,452.81/9,678.06 = 1,709.00/x
  3. Step 3: Cross multiply
    6,452.81x = 9,678.06 × 1,709.00
  4. Step 4: Simplify right side
    6,452.81x = 16,539,786.03
  5. Step 5: Solve for x
    x = 16,539,786.03/6,452.81
  6. Step 6: Final answer
    x = 2,563.19

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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.