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Finding the Fourth Proportional to 11,877.51, 16,384.14 and 7,562.64

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Solution

The fourth proportional to 11,877.51, 16,384.14 and 7,562.64 is: 10,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.51 : 16,384.14 = 7,562.64 : x
  2. Step 2: Convert to fraction form
    11,877.51/16,384.14 = 7,562.64/x
  3. Step 3: Cross multiply
    11,877.51x = 16,384.14 × 7,562.64
  4. Step 4: Simplify right side
    11,877.51x = 123,907,352.53
  5. Step 5: Solve for x
    x = 123,907,352.53/11,877.51
  6. Step 6: Final answer
    x = 10,432.10

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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.