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Finding the Fourth Proportional to 11,607.71, 16,018.54 and 6,302.42

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Solution

The fourth proportional to 11,607.71, 16,018.54 and 6,302.42 is: 8,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.71 : 16,018.54 = 6,302.42 : x
  2. Step 2: Convert to fraction form
    11,607.71/16,018.54 = 6,302.42/x
  3. Step 3: Cross multiply
    11,607.71x = 16,018.54 × 6,302.42
  4. Step 4: Simplify right side
    11,607.71x = 100,955,566.87
  5. Step 5: Solve for x
    x = 100,955,566.87/11,607.71
  6. Step 6: Final answer
    x = 8,697.29

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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.