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Finding the Fourth Proportional to 7,294.68, 10,064.16 and 4,150.08

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Solution

The fourth proportional to 7,294.68, 10,064.16 and 4,150.08 is: 5,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.68 : 10,064.16 = 4,150.08 : x
  2. Step 2: Convert to fraction form
    7,294.68/10,064.16 = 4,150.08/x
  3. Step 3: Cross multiply
    7,294.68x = 10,064.16 × 4,150.08
  4. Step 4: Simplify right side
    7,294.68x = 41,767,069.13
  5. Step 5: Solve for x
    x = 41,767,069.13/7,294.68
  6. Step 6: Final answer
    x = 5,725.69

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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.