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Finding the Fourth Proportional to 14,101.71, 19,460.66 and 7,814.10

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Solution

The fourth proportional to 14,101.71, 19,460.66 and 7,814.10 is: 10,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.71 : 19,460.66 = 7,814.10 : x
  2. Step 2: Convert to fraction form
    14,101.71/19,460.66 = 7,814.10/x
  3. Step 3: Cross multiply
    14,101.71x = 19,460.66 × 7,814.10
  4. Step 4: Simplify right side
    14,101.71x = 152,067,504.24
  5. Step 5: Solve for x
    x = 152,067,504.24/14,101.71
  6. Step 6: Final answer
    x = 10,783.62

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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.