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Finding the Fourth Proportional to 9,751.80, 13,459.23 and 5,774.88

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Solution

The fourth proportional to 9,751.80, 13,459.23 and 5,774.88 is: 7,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.80 : 13,459.23 = 5,774.88 : x
  2. Step 2: Convert to fraction form
    9,751.80/13,459.23 = 5,774.88/x
  3. Step 3: Cross multiply
    9,751.80x = 13,459.23 × 5,774.88
  4. Step 4: Simplify right side
    9,751.80x = 77,725,438.14
  5. Step 5: Solve for x
    x = 77,725,438.14/9,751.80
  6. Step 6: Final answer
    x = 7,970.37

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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.