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Finding the Fourth Proportional to 7,294.94, 10,944.14 and 2,364.59

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Solution

The fourth proportional to 7,294.94, 10,944.14 and 2,364.59 is: 3,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.94 : 10,944.14 = 2,364.59 : x
  2. Step 2: Convert to fraction form
    7,294.94/10,944.14 = 2,364.59/x
  3. Step 3: Cross multiply
    7,294.94x = 10,944.14 × 2,364.59
  4. Step 4: Simplify right side
    7,294.94x = 25,878,355.19
  5. Step 5: Solve for x
    x = 25,878,355.19/7,294.94
  6. Step 6: Final answer
    x = 3,547.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.