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Finding the Fourth Proportional to 9,800.75, 13,526.86 and 5,609

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Solution

The fourth proportional to 9,800.75, 13,526.86 and 5,609 is: 7,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.75 : 13,526.86 = 5,609 : x
  2. Step 2: Convert to fraction form
    9,800.75/13,526.86 = 5,609/x
  3. Step 3: Cross multiply
    9,800.75x = 13,526.86 × 5,609
  4. Step 4: Simplify right side
    9,800.75x = 75,872,157.74
  5. Step 5: Solve for x
    x = 75,872,157.74/9,800.75
  6. Step 6: Final answer
    x = 7,741.46

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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.