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Finding the Fourth Proportional to 7,097.95, 9,795.06 and 3,954.14

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Solution

The fourth proportional to 7,097.95, 9,795.06 and 3,954.14 is: 5,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.95 : 9,795.06 = 3,954.14 : x
  2. Step 2: Convert to fraction form
    7,097.95/9,795.06 = 3,954.14/x
  3. Step 3: Cross multiply
    7,097.95x = 9,795.06 × 3,954.14
  4. Step 4: Simplify right side
    7,097.95x = 38,731,038.55
  5. Step 5: Solve for x
    x = 38,731,038.55/7,097.95
  6. Step 6: Final answer
    x = 5,456.65

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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.