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Finding the Fourth Proportional to 6,354.64, 9,515.76 and 4,592.20

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Solution

The fourth proportional to 6,354.64, 9,515.76 and 4,592.20 is: 6,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.64 : 9,515.76 = 4,592.20 : x
  2. Step 2: Convert to fraction form
    6,354.64/9,515.76 = 4,592.20/x
  3. Step 3: Cross multiply
    6,354.64x = 9,515.76 × 4,592.20
  4. Step 4: Simplify right side
    6,354.64x = 43,698,273.07
  5. Step 5: Solve for x
    x = 43,698,273.07/6,354.64
  6. Step 6: Final answer
    x = 6,876.59

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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.