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Finding the Fourth Proportional to 31,298, 46,947 and 9,410

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Solution

The fourth proportional to 31,298, 46,947 and 9,410 is: 14,115

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298 : 46,947 = 9,410 : x
  2. Step 2: Convert to fraction form
    31,298/46,947 = 9,410/x
  3. Step 3: Cross multiply
    31,298x = 46,947 × 9,410
  4. Step 4: Simplify right side
    31,298x = 441,771,270
  5. Step 5: Solve for x
    x = 441,771,270/31,298
  6. Step 6: Final answer
    x = 14,115

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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.