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Finding the Fourth Proportional to 9,759.70, 13,468.31 and 5,782.70

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Solution

The fourth proportional to 9,759.70, 13,468.31 and 5,782.70 is: 7,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.70 : 13,468.31 = 5,782.70 : x
  2. Step 2: Convert to fraction form
    9,759.70/13,468.31 = 5,782.70/x
  3. Step 3: Cross multiply
    9,759.70x = 13,468.31 × 5,782.70
  4. Step 4: Simplify right side
    9,759.70x = 77,883,222.68
  5. Step 5: Solve for x
    x = 77,883,222.68/9,759.70
  6. Step 6: Final answer
    x = 7,980.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.