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Finding the Fourth Proportional to 10,805.64, 16,208.47 and 7,124.31

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Solution

The fourth proportional to 10,805.64, 16,208.47 and 7,124.31 is: 10,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.64 : 16,208.47 = 7,124.31 : x
  2. Step 2: Convert to fraction form
    10,805.64/16,208.47 = 7,124.31/x
  3. Step 3: Cross multiply
    10,805.64x = 16,208.47 × 7,124.31
  4. Step 4: Simplify right side
    10,805.64x = 115,474,173.81
  5. Step 5: Solve for x
    x = 115,474,173.81/10,805.64
  6. Step 6: Final answer
    x = 10,686.48

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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.