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Finding the Fourth Proportional to 9,728.61, 14,605.21 and 4,468.87

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Solution

The fourth proportional to 9,728.61, 14,605.21 and 4,468.87 is: 6,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.61 : 14,605.21 = 4,468.87 : x
  2. Step 2: Convert to fraction form
    9,728.61/14,605.21 = 4,468.87/x
  3. Step 3: Cross multiply
    9,728.61x = 14,605.21 × 4,468.87
  4. Step 4: Simplify right side
    9,728.61x = 65,268,808.66
  5. Step 5: Solve for x
    x = 65,268,808.66/9,728.61
  6. Step 6: Final answer
    x = 6,708.96

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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.