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Finding the Fourth Proportional to 35,666.38, 53,470.38 and 13,467.16

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Solution

The fourth proportional to 35,666.38, 53,470.38 and 13,467.16 is: 20,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.38 : 53,470.38 = 13,467.16 : x
  2. Step 2: Convert to fraction form
    35,666.38/53,470.38 = 13,467.16/x
  3. Step 3: Cross multiply
    35,666.38x = 53,470.38 × 13,467.16
  4. Step 4: Simplify right side
    35,666.38x = 720,094,162.72
  5. Step 5: Solve for x
    x = 720,094,162.72/35,666.38
  6. Step 6: Final answer
    x = 20,189.72

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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.