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Finding the Fourth Proportional to 7,564.94, 10,438.80 and 4,207.22

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Solution

The fourth proportional to 7,564.94, 10,438.80 and 4,207.22 is: 5,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.94 : 10,438.80 = 4,207.22 : x
  2. Step 2: Convert to fraction form
    7,564.94/10,438.80 = 4,207.22/x
  3. Step 3: Cross multiply
    7,564.94x = 10,438.80 × 4,207.22
  4. Step 4: Simplify right side
    7,564.94x = 43,918,328.14
  5. Step 5: Solve for x
    x = 43,918,328.14/7,564.94
  6. Step 6: Final answer
    x = 5,805.51

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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.