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Finding the Fourth Proportional to 7,097.86, 9,795.54 and 3,954.16

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Solution

The fourth proportional to 7,097.86, 9,795.54 and 3,954.16 is: 5,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.86 : 9,795.54 = 3,954.16 : x
  2. Step 2: Convert to fraction form
    7,097.86/9,795.54 = 3,954.16/x
  3. Step 3: Cross multiply
    7,097.86x = 9,795.54 × 3,954.16
  4. Step 4: Simplify right side
    7,097.86x = 38,733,132.45
  5. Step 5: Solve for x
    x = 38,733,132.45/7,097.86
  6. Step 6: Final answer
    x = 5,457.02

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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.