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Finding the Fourth Proportional to 6,566.61, 9,811.46 and 6,336.93

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Solution

The fourth proportional to 6,566.61, 9,811.46 and 6,336.93 is: 9,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.61 : 9,811.46 = 6,336.93 : x
  2. Step 2: Convert to fraction form
    6,566.61/9,811.46 = 6,336.93/x
  3. Step 3: Cross multiply
    6,566.61x = 9,811.46 × 6,336.93
  4. Step 4: Simplify right side
    6,566.61x = 62,174,503.53
  5. Step 5: Solve for x
    x = 62,174,503.53/6,566.61
  6. Step 6: Final answer
    x = 9,468.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.