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Finding the Fourth Proportional to 10,367.85, 14,307.63 and 5,891.60

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Solution

The fourth proportional to 10,367.85, 14,307.63 and 5,891.60 is: 8,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.85 : 14,307.63 = 5,891.60 : x
  2. Step 2: Convert to fraction form
    10,367.85/14,307.63 = 5,891.60/x
  3. Step 3: Cross multiply
    10,367.85x = 14,307.63 × 5,891.60
  4. Step 4: Simplify right side
    10,367.85x = 84,294,832.91
  5. Step 5: Solve for x
    x = 84,294,832.91/10,367.85
  6. Step 6: Final answer
    x = 8,130.41

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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.