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Finding the Fourth Proportional to 10,476.74, 14,461.74 and 6,941.09

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Solution

The fourth proportional to 10,476.74, 14,461.74 and 6,941.09 is: 9,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.74 : 14,461.74 = 6,941.09 : x
  2. Step 2: Convert to fraction form
    10,476.74/14,461.74 = 6,941.09/x
  3. Step 3: Cross multiply
    10,476.74x = 14,461.74 × 6,941.09
  4. Step 4: Simplify right side
    10,476.74x = 100,380,166.59
  5. Step 5: Solve for x
    x = 100,380,166.59/10,476.74
  6. Step 6: Final answer
    x = 9,581.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.