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Finding the Fourth Proportional to 12,335.02, 18,502.53 and 7,138.06

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Solution

The fourth proportional to 12,335.02, 18,502.53 and 7,138.06 is: 10,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.02 : 18,502.53 = 7,138.06 : x
  2. Step 2: Convert to fraction form
    12,335.02/18,502.53 = 7,138.06/x
  3. Step 3: Cross multiply
    12,335.02x = 18,502.53 × 7,138.06
  4. Step 4: Simplify right side
    12,335.02x = 132,072,169.29
  5. Step 5: Solve for x
    x = 132,072,169.29/12,335.02
  6. Step 6: Final answer
    x = 10,707.09

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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.