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Finding the Fourth Proportional to 9,894.91, 14,840.50 and 4,963.23

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Solution

The fourth proportional to 9,894.91, 14,840.50 and 4,963.23 is: 7,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.91 : 14,840.50 = 4,963.23 : x
  2. Step 2: Convert to fraction form
    9,894.91/14,840.50 = 4,963.23/x
  3. Step 3: Cross multiply
    9,894.91x = 14,840.50 × 4,963.23
  4. Step 4: Simplify right side
    9,894.91x = 73,656,814.82
  5. Step 5: Solve for x
    x = 73,656,814.82/9,894.91
  6. Step 6: Final answer
    x = 7,443.91

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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.