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Finding the Fourth Proportional to 10,807.64, 14,915.23 and 6,092.22

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Solution

The fourth proportional to 10,807.64, 14,915.23 and 6,092.22 is: 8,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.64 : 14,915.23 = 6,092.22 : x
  2. Step 2: Convert to fraction form
    10,807.64/14,915.23 = 6,092.22/x
  3. Step 3: Cross multiply
    10,807.64x = 14,915.23 × 6,092.22
  4. Step 4: Simplify right side
    10,807.64x = 90,866,903.21
  5. Step 5: Solve for x
    x = 90,866,903.21/10,807.64
  6. Step 6: Final answer
    x = 8,407.66

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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.