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Finding the Fourth Proportional to 11,964.76, 17,913 and 9,503.08

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Solution

The fourth proportional to 11,964.76, 17,913 and 9,503.08 is: 14,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.76 : 17,913 = 9,503.08 : x
  2. Step 2: Convert to fraction form
    11,964.76/17,913 = 9,503.08/x
  3. Step 3: Cross multiply
    11,964.76x = 17,913 × 9,503.08
  4. Step 4: Simplify right side
    11,964.76x = 170,228,672.04
  5. Step 5: Solve for x
    x = 170,228,672.04/11,964.76
  6. Step 6: Final answer
    x = 14,227.50

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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.