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Finding the Fourth Proportional to 7,095.09, 9,783.12 and 5,974.32

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Solution

The fourth proportional to 7,095.09, 9,783.12 and 5,974.32 is: 8,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.09 : 9,783.12 = 5,974.32 : x
  2. Step 2: Convert to fraction form
    7,095.09/9,783.12 = 5,974.32/x
  3. Step 3: Cross multiply
    7,095.09x = 9,783.12 × 5,974.32
  4. Step 4: Simplify right side
    7,095.09x = 58,447,489.48
  5. Step 5: Solve for x
    x = 58,447,489.48/7,095.09
  6. Step 6: Final answer
    x = 8,237.74

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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.