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Finding the Fourth Proportional to 10,473.72, 14,443.02 and 6,935.64

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Solution

The fourth proportional to 10,473.72, 14,443.02 and 6,935.64 is: 9,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.72 : 14,443.02 = 6,935.64 : x
  2. Step 2: Convert to fraction form
    10,473.72/14,443.02 = 6,935.64/x
  3. Step 3: Cross multiply
    10,473.72x = 14,443.02 × 6,935.64
  4. Step 4: Simplify right side
    10,473.72x = 100,171,587.23
  5. Step 5: Solve for x
    x = 100,171,587.23/10,473.72
  6. Step 6: Final answer
    x = 9,564.09

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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.