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Finding the Fourth Proportional to 14,307.76, 21,464.88 and 5,073.76

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Solution

The fourth proportional to 14,307.76, 21,464.88 and 5,073.76 is: 7,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.76 : 21,464.88 = 5,073.76 : x
  2. Step 2: Convert to fraction form
    14,307.76/21,464.88 = 5,073.76/x
  3. Step 3: Cross multiply
    14,307.76x = 21,464.88 × 5,073.76
  4. Step 4: Simplify right side
    14,307.76x = 108,907,649.55
  5. Step 5: Solve for x
    x = 108,907,649.55/14,307.76
  6. Step 6: Final answer
    x = 7,611.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.