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Finding the Fourth Proportional to 15,807.34, 21,813.87 and 8,734.06

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Solution

The fourth proportional to 15,807.34, 21,813.87 and 8,734.06 is: 12,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.34 : 21,813.87 = 8,734.06 : x
  2. Step 2: Convert to fraction form
    15,807.34/21,813.87 = 8,734.06/x
  3. Step 3: Cross multiply
    15,807.34x = 21,813.87 × 8,734.06
  4. Step 4: Simplify right side
    15,807.34x = 190,523,649.41
  5. Step 5: Solve for x
    x = 190,523,649.41/15,807.34
  6. Step 6: Final answer
    x = 12,052.86

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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.