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Finding the Fourth Proportional to 14,206.71, 19,605.11 and 7,833.86

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Solution

The fourth proportional to 14,206.71, 19,605.11 and 7,833.86 is: 10,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.71 : 19,605.11 = 7,833.86 : x
  2. Step 2: Convert to fraction form
    14,206.71/19,605.11 = 7,833.86/x
  3. Step 3: Cross multiply
    14,206.71x = 19,605.11 × 7,833.86
  4. Step 4: Simplify right side
    14,206.71x = 153,583,708.80
  5. Step 5: Solve for x
    x = 153,583,708.80/14,206.71
  6. Step 6: Final answer
    x = 10,810.64

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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.