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Finding the Fourth Proportional to 6,466, 9,699 and 1,602

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Solution

The fourth proportional to 6,466, 9,699 and 1,602 is: 2,403

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466 : 9,699 = 1,602 : x
  2. Step 2: Convert to fraction form
    6,466/9,699 = 1,602/x
  3. Step 3: Cross multiply
    6,466x = 9,699 × 1,602
  4. Step 4: Simplify right side
    6,466x = 15,537,798
  5. Step 5: Solve for x
    x = 15,537,798/6,466
  6. Step 6: Final answer
    x = 2,403

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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.