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Finding the Fourth Proportional to 14,807.16, 22,214.82 and 8,237.94

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Solution

The fourth proportional to 14,807.16, 22,214.82 and 8,237.94 is: 12,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.16 : 22,214.82 = 8,237.94 : x
  2. Step 2: Convert to fraction form
    14,807.16/22,214.82 = 8,237.94/x
  3. Step 3: Cross multiply
    14,807.16x = 22,214.82 × 8,237.94
  4. Step 4: Simplify right side
    14,807.16x = 183,004,354.27
  5. Step 5: Solve for x
    x = 183,004,354.27/14,807.16
  6. Step 6: Final answer
    x = 12,359.18

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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.