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Finding the Fourth Proportional to 6,465, 8,921.70 and 3,521

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Solution

The fourth proportional to 6,465, 8,921.70 and 3,521 is: 4,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 8,921.70 = 3,521 : x
  2. Step 2: Convert to fraction form
    6,465/8,921.70 = 3,521/x
  3. Step 3: Cross multiply
    6,465x = 8,921.70 × 3,521
  4. Step 4: Simplify right side
    6,465x = 31,413,305.70
  5. Step 5: Solve for x
    x = 31,413,305.70/6,465
  6. Step 6: Final answer
    x = 4,858.98

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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.