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Finding the Fourth Proportional to 7,042.68, 9,710.10 and 5,152.77

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Solution

The fourth proportional to 7,042.68, 9,710.10 and 5,152.77 is: 7,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.68 : 9,710.10 = 5,152.77 : x
  2. Step 2: Convert to fraction form
    7,042.68/9,710.10 = 5,152.77/x
  3. Step 3: Cross multiply
    7,042.68x = 9,710.10 × 5,152.77
  4. Step 4: Simplify right side
    7,042.68x = 50,033,911.98
  5. Step 5: Solve for x
    x = 50,033,911.98/7,042.68
  6. Step 6: Final answer
    x = 7,104.39

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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.