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Finding the Fourth Proportional to 14,901.84, 22,357.64 and 7,109.64

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Solution

The fourth proportional to 14,901.84, 22,357.64 and 7,109.64 is: 10,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.84 : 22,357.64 = 7,109.64 : x
  2. Step 2: Convert to fraction form
    14,901.84/22,357.64 = 7,109.64/x
  3. Step 3: Cross multiply
    14,901.84x = 22,357.64 × 7,109.64
  4. Step 4: Simplify right side
    14,901.84x = 158,954,771.65
  5. Step 5: Solve for x
    x = 158,954,771.65/14,901.84
  6. Step 6: Final answer
    x = 10,666.79

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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.