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Finding the Fourth Proportional to 35,264, 52,898.16 and 10,640

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Solution

The fourth proportional to 35,264, 52,898.16 and 10,640 is: 15,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264 : 52,898.16 = 10,640 : x
  2. Step 2: Convert to fraction form
    35,264/52,898.16 = 10,640/x
  3. Step 3: Cross multiply
    35,264x = 52,898.16 × 10,640
  4. Step 4: Simplify right side
    35,264x = 562,836,422.40
  5. Step 5: Solve for x
    x = 562,836,422.40/35,264
  6. Step 6: Final answer
    x = 15,960.65

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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.