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Finding the Fourth Proportional to 7,003.35, 9,666.27 and 4,352.76

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Solution

The fourth proportional to 7,003.35, 9,666.27 and 4,352.76 is: 6,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.35 : 9,666.27 = 4,352.76 : x
  2. Step 2: Convert to fraction form
    7,003.35/9,666.27 = 4,352.76/x
  3. Step 3: Cross multiply
    7,003.35x = 9,666.27 × 4,352.76
  4. Step 4: Simplify right side
    7,003.35x = 42,074,953.41
  5. Step 5: Solve for x
    x = 42,074,953.41/7,003.35
  6. Step 6: Final answer
    x = 6,007.83

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Half scale
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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.