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Finding the Fourth Proportional to 14,191.69, 19,585.14 and 7,904.06

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Solution

The fourth proportional to 14,191.69, 19,585.14 and 7,904.06 is: 10,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.69 : 19,585.14 = 7,904.06 : x
  2. Step 2: Convert to fraction form
    14,191.69/19,585.14 = 7,904.06/x
  3. Step 3: Cross multiply
    14,191.69x = 19,585.14 × 7,904.06
  4. Step 4: Simplify right side
    14,191.69x = 154,802,121.67
  5. Step 5: Solve for x
    x = 154,802,121.67/14,191.69
  6. Step 6: Final answer
    x = 10,907.94

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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.