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Finding the Fourth Proportional to 10,807.44, 14,913 and 6,091.44

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Solution

The fourth proportional to 10,807.44, 14,913 and 6,091.44 is: 8,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.44 : 14,913 = 6,091.44 : x
  2. Step 2: Convert to fraction form
    10,807.44/14,913 = 6,091.44/x
  3. Step 3: Cross multiply
    10,807.44x = 14,913 × 6,091.44
  4. Step 4: Simplify right side
    10,807.44x = 90,841,644.72
  5. Step 5: Solve for x
    x = 90,841,644.72/10,807.44
  6. Step 6: Final answer
    x = 8,405.47

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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.