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Finding the Fourth Proportional to 14,566.20, 21,830.40 and 6,758.40

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Solution

The fourth proportional to 14,566.20, 21,830.40 and 6,758.40 is: 10,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.20 : 21,830.40 = 6,758.40 : x
  2. Step 2: Convert to fraction form
    14,566.20/21,830.40 = 6,758.40/x
  3. Step 3: Cross multiply
    14,566.20x = 21,830.40 × 6,758.40
  4. Step 4: Simplify right side
    14,566.20x = 147,538,575.36
  5. Step 5: Solve for x
    x = 147,538,575.36/14,566.20
  6. Step 6: Final answer
    x = 10,128.83

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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.