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Finding the Fourth Proportional to 6,507.04, 9,759.52 and 1,888.96

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Solution

The fourth proportional to 6,507.04, 9,759.52 and 1,888.96 is: 2,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.04 : 9,759.52 = 1,888.96 : x
  2. Step 2: Convert to fraction form
    6,507.04/9,759.52 = 1,888.96/x
  3. Step 3: Cross multiply
    6,507.04x = 9,759.52 × 1,888.96
  4. Step 4: Simplify right side
    6,507.04x = 18,435,342.90
  5. Step 5: Solve for x
    x = 18,435,342.90/6,507.04
  6. Step 6: Final answer
    x = 2,833.14

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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.