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Finding the Fourth Proportional to 10,673.75, 16,009.12 and 6,712.93

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Solution

The fourth proportional to 10,673.75, 16,009.12 and 6,712.93 is: 10,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.75 : 16,009.12 = 6,712.93 : x
  2. Step 2: Convert to fraction form
    10,673.75/16,009.12 = 6,712.93/x
  3. Step 3: Cross multiply
    10,673.75x = 16,009.12 × 6,712.93
  4. Step 4: Simplify right side
    10,673.75x = 107,468,101.92
  5. Step 5: Solve for x
    x = 107,468,101.92/10,673.75
  6. Step 6: Final answer
    x = 10,068.45

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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.