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Finding the Fourth Proportional to 7,564.70, 10,438.02 and 4,207.08

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Solution

The fourth proportional to 7,564.70, 10,438.02 and 4,207.08 is: 5,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.70 : 10,438.02 = 4,207.08 : x
  2. Step 2: Convert to fraction form
    7,564.70/10,438.02 = 4,207.08/x
  3. Step 3: Cross multiply
    7,564.70x = 10,438.02 × 4,207.08
  4. Step 4: Simplify right side
    7,564.70x = 43,913,511.96
  5. Step 5: Solve for x
    x = 43,913,511.96/7,564.70
  6. Step 6: Final answer
    x = 5,805.06

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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.