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Finding the Fourth Proportional to 6,564.75, 9,827.55 and 4,468.20

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Solution

The fourth proportional to 6,564.75, 9,827.55 and 4,468.20 is: 6,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.75 : 9,827.55 = 4,468.20 : x
  2. Step 2: Convert to fraction form
    6,564.75/9,827.55 = 4,468.20/x
  3. Step 3: Cross multiply
    6,564.75x = 9,827.55 × 4,468.20
  4. Step 4: Simplify right side
    6,564.75x = 43,911,458.91
  5. Step 5: Solve for x
    x = 43,911,458.91/6,564.75
  6. Step 6: Final answer
    x = 6,688.98

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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.