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Finding the Fourth Proportional to 6,465, 9,701 and 5,007

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Solution

The fourth proportional to 6,465, 9,701 and 5,007 is: 7,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 9,701 = 5,007 : x
  2. Step 2: Convert to fraction form
    6,465/9,701 = 5,007/x
  3. Step 3: Cross multiply
    6,465x = 9,701 × 5,007
  4. Step 4: Simplify right side
    6,465x = 48,572,907
  5. Step 5: Solve for x
    x = 48,572,907/6,465
  6. Step 6: Final answer
    x = 7,513.21

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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.