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Finding the Fourth Proportional to 6,335, 9,502.50 and 1,718

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Solution

The fourth proportional to 6,335, 9,502.50 and 1,718 is: 2,577

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335 : 9,502.50 = 1,718 : x
  2. Step 2: Convert to fraction form
    6,335/9,502.50 = 1,718/x
  3. Step 3: Cross multiply
    6,335x = 9,502.50 × 1,718
  4. Step 4: Simplify right side
    6,335x = 16,325,295
  5. Step 5: Solve for x
    x = 16,325,295/6,335
  6. Step 6: Final answer
    x = 2,577

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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.