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Finding the Fourth Proportional to 7,137.86, 10,693.46 and 5,975.32

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Solution

The fourth proportional to 7,137.86, 10,693.46 and 5,975.32 is: 8,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.86 : 10,693.46 = 5,975.32 : x
  2. Step 2: Convert to fraction form
    7,137.86/10,693.46 = 5,975.32/x
  3. Step 3: Cross multiply
    7,137.86x = 10,693.46 × 5,975.32
  4. Step 4: Simplify right side
    7,137.86x = 63,896,845.41
  5. Step 5: Solve for x
    x = 63,896,845.41/7,137.86
  6. Step 6: Final answer
    x = 8,951.82

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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.