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Finding the Fourth Proportional to 35,297.84, 52,946.04 and 9,002

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Solution

The fourth proportional to 35,297.84, 52,946.04 and 9,002 is: 13,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297.84 : 52,946.04 = 9,002 : x
  2. Step 2: Convert to fraction form
    35,297.84/52,946.04 = 9,002/x
  3. Step 3: Cross multiply
    35,297.84x = 52,946.04 × 9,002
  4. Step 4: Simplify right side
    35,297.84x = 476,620,252.08
  5. Step 5: Solve for x
    x = 476,620,252.08/35,297.84
  6. Step 6: Final answer
    x = 13,502.82

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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.