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Finding the Fourth Proportional to 7,728.34, 10,664.98 and 4,191.46

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Solution

The fourth proportional to 7,728.34, 10,664.98 and 4,191.46 is: 5,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.34 : 10,664.98 = 4,191.46 : x
  2. Step 2: Convert to fraction form
    7,728.34/10,664.98 = 4,191.46/x
  3. Step 3: Cross multiply
    7,728.34x = 10,664.98 × 4,191.46
  4. Step 4: Simplify right side
    7,728.34x = 44,701,837.07
  5. Step 5: Solve for x
    x = 44,701,837.07/7,728.34
  6. Step 6: Final answer
    x = 5,784.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.