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Finding the Fourth Proportional to 6,052.86, 8,356.23 and 5,578.61

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Solution

The fourth proportional to 6,052.86, 8,356.23 and 5,578.61 is: 7,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.86 : 8,356.23 = 5,578.61 : x
  2. Step 2: Convert to fraction form
    6,052.86/8,356.23 = 5,578.61/x
  3. Step 3: Cross multiply
    6,052.86x = 8,356.23 × 5,578.61
  4. Step 4: Simplify right side
    6,052.86x = 46,616,106.46
  5. Step 5: Solve for x
    x = 46,616,106.46/6,052.86
  6. Step 6: Final answer
    x = 7,701.50

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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.