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Finding the Fourth Proportional to 10,476.69, 14,457.88 and 5,696.68

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Solution

The fourth proportional to 10,476.69, 14,457.88 and 5,696.68 is: 7,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.69 : 14,457.88 = 5,696.68 : x
  2. Step 2: Convert to fraction form
    10,476.69/14,457.88 = 5,696.68/x
  3. Step 3: Cross multiply
    10,476.69x = 14,457.88 × 5,696.68
  4. Step 4: Simplify right side
    10,476.69x = 82,361,915.84
  5. Step 5: Solve for x
    x = 82,361,915.84/10,476.69
  6. Step 6: Final answer
    x = 7,861.44

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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.