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Finding the Fourth Proportional to 10,507.36, 15,759.36 and 6,835.68

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Solution

The fourth proportional to 10,507.36, 15,759.36 and 6,835.68 is: 10,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.36 : 15,759.36 = 6,835.68 : x
  2. Step 2: Convert to fraction form
    10,507.36/15,759.36 = 6,835.68/x
  3. Step 3: Cross multiply
    10,507.36x = 15,759.36 × 6,835.68
  4. Step 4: Simplify right side
    10,507.36x = 107,725,941.96
  5. Step 5: Solve for x
    x = 107,725,941.96/10,507.36
  6. Step 6: Final answer
    x = 10,252.43

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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.