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Finding the Fourth Proportional to 11,614.78, 16,030.38 and 6,899.32

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Solution

The fourth proportional to 11,614.78, 16,030.38 and 6,899.32 is: 9,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.78 : 16,030.38 = 6,899.32 : x
  2. Step 2: Convert to fraction form
    11,614.78/16,030.38 = 6,899.32/x
  3. Step 3: Cross multiply
    11,614.78x = 16,030.38 × 6,899.32
  4. Step 4: Simplify right side
    11,614.78x = 110,598,721.34
  5. Step 5: Solve for x
    x = 110,598,721.34/11,614.78
  6. Step 6: Final answer
    x = 9,522.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.