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Finding the Fourth Proportional to 10,739.05, 14,813.05 and 7,759.26

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Solution

The fourth proportional to 10,739.05, 14,813.05 and 7,759.26 is: 10,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.05 : 14,813.05 = 7,759.26 : x
  2. Step 2: Convert to fraction form
    10,739.05/14,813.05 = 7,759.26/x
  3. Step 3: Cross multiply
    10,739.05x = 14,813.05 × 7,759.26
  4. Step 4: Simplify right side
    10,739.05x = 114,938,306.34
  5. Step 5: Solve for x
    x = 114,938,306.34/10,739.05
  6. Step 6: Final answer
    x = 10,702.84

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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.