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Finding the Fourth Proportional to 9,841.91, 14,762.73 and 5,894.27

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Solution

The fourth proportional to 9,841.91, 14,762.73 and 5,894.27 is: 8,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.91 : 14,762.73 = 5,894.27 : x
  2. Step 2: Convert to fraction form
    9,841.91/14,762.73 = 5,894.27/x
  3. Step 3: Cross multiply
    9,841.91x = 14,762.73 × 5,894.27
  4. Step 4: Simplify right side
    9,841.91x = 87,015,442.74
  5. Step 5: Solve for x
    x = 87,015,442.74/9,841.91
  6. Step 6: Final answer
    x = 8,841.32

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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.