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Finding the Fourth Proportional to 14,716.10, 22,084.95 and 9,784.10

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Solution

The fourth proportional to 14,716.10, 22,084.95 and 9,784.10 is: 14,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.10 : 22,084.95 = 9,784.10 : x
  2. Step 2: Convert to fraction form
    14,716.10/22,084.95 = 9,784.10/x
  3. Step 3: Cross multiply
    14,716.10x = 22,084.95 × 9,784.10
  4. Step 4: Simplify right side
    14,716.10x = 216,081,359.30
  5. Step 5: Solve for x
    x = 216,081,359.30/14,716.10
  6. Step 6: Final answer
    x = 14,683.33

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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.