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Finding the Fourth Proportional to 9,962.68, 13,750.14 and 7,600.36

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Solution

The fourth proportional to 9,962.68, 13,750.14 and 7,600.36 is: 10,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.68 : 13,750.14 = 7,600.36 : x
  2. Step 2: Convert to fraction form
    9,962.68/13,750.14 = 7,600.36/x
  3. Step 3: Cross multiply
    9,962.68x = 13,750.14 × 7,600.36
  4. Step 4: Simplify right side
    9,962.68x = 104,506,014.05
  5. Step 5: Solve for x
    x = 104,506,014.05/9,962.68
  6. Step 6: Final answer
    x = 10,489.75

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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.