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Finding the Fourth Proportional to 10,646.87, 15,984.44 and 9,096.84

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Solution

The fourth proportional to 10,646.87, 15,984.44 and 9,096.84 is: 13,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.87 : 15,984.44 = 9,096.84 : x
  2. Step 2: Convert to fraction form
    10,646.87/15,984.44 = 9,096.84/x
  3. Step 3: Cross multiply
    10,646.87x = 15,984.44 × 9,096.84
  4. Step 4: Simplify right side
    10,646.87x = 145,407,813.25
  5. Step 5: Solve for x
    x = 145,407,813.25/10,646.87
  6. Step 6: Final answer
    x = 13,657.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.