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Finding the Fourth Proportional to 7,042.68, 10,564.74 and 2,425.68

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Solution

The fourth proportional to 7,042.68, 10,564.74 and 2,425.68 is: 3,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.68 : 10,564.74 = 2,425.68 : x
  2. Step 2: Convert to fraction form
    7,042.68/10,564.74 = 2,425.68/x
  3. Step 3: Cross multiply
    7,042.68x = 10,564.74 × 2,425.68
  4. Step 4: Simplify right side
    7,042.68x = 25,626,678.52
  5. Step 5: Solve for x
    x = 25,626,678.52/7,042.68
  6. Step 6: Final answer
    x = 3,638.77

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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.