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Finding the Fourth Proportional to 7,945.68, 10,966 and 4,802.16

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Solution

The fourth proportional to 7,945.68, 10,966 and 4,802.16 is: 6,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.68 : 10,966 = 4,802.16 : x
  2. Step 2: Convert to fraction form
    7,945.68/10,966 = 4,802.16/x
  3. Step 3: Cross multiply
    7,945.68x = 10,966 × 4,802.16
  4. Step 4: Simplify right side
    7,945.68x = 52,660,486.56
  5. Step 5: Solve for x
    x = 52,660,486.56/7,945.68
  6. Step 6: Final answer
    x = 6,627.56

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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.