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Finding the Fourth Proportional to 9,536.68, 14,369.56 and 7,929.10

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Solution

The fourth proportional to 9,536.68, 14,369.56 and 7,929.10 is: 11,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.68 : 14,369.56 = 7,929.10 : x
  2. Step 2: Convert to fraction form
    9,536.68/14,369.56 = 7,929.10/x
  3. Step 3: Cross multiply
    9,536.68x = 14,369.56 × 7,929.10
  4. Step 4: Simplify right side
    9,536.68x = 113,937,678.20
  5. Step 5: Solve for x
    x = 113,937,678.20/9,536.68
  6. Step 6: Final answer
    x = 11,947.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.