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Finding the Fourth Proportional to 10,393.74, 14,338.80 and 7,035.39

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Solution

The fourth proportional to 10,393.74, 14,338.80 and 7,035.39 is: 9,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.74 : 14,338.80 = 7,035.39 : x
  2. Step 2: Convert to fraction form
    10,393.74/14,338.80 = 7,035.39/x
  3. Step 3: Cross multiply
    10,393.74x = 14,338.80 × 7,035.39
  4. Step 4: Simplify right side
    10,393.74x = 100,879,050.13
  5. Step 5: Solve for x
    x = 100,879,050.13/10,393.74
  6. Step 6: Final answer
    x = 9,705.75

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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.