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Finding the Fourth Proportional to 9,468.34, 13,070.42 and 5,933.60

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Solution

The fourth proportional to 9,468.34, 13,070.42 and 5,933.60 is: 8,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.34 : 13,070.42 = 5,933.60 : x
  2. Step 2: Convert to fraction form
    9,468.34/13,070.42 = 5,933.60/x
  3. Step 3: Cross multiply
    9,468.34x = 13,070.42 × 5,933.60
  4. Step 4: Simplify right side
    9,468.34x = 77,554,644.11
  5. Step 5: Solve for x
    x = 77,554,644.11/9,468.34
  6. Step 6: Final answer
    x = 8,190.94

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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.