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Finding the Fourth Proportional to 6,975.68, 9,597.54 and 6,093.60

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Solution

The fourth proportional to 6,975.68, 9,597.54 and 6,093.60 is: 8,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.68 : 9,597.54 = 6,093.60 : x
  2. Step 2: Convert to fraction form
    6,975.68/9,597.54 = 6,093.60/x
  3. Step 3: Cross multiply
    6,975.68x = 9,597.54 × 6,093.60
  4. Step 4: Simplify right side
    6,975.68x = 58,483,569.74
  5. Step 5: Solve for x
    x = 58,483,569.74/6,975.68
  6. Step 6: Final answer
    x = 8,383.92

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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.