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Finding the Fourth Proportional to 10,412.40, 14,368.99 and 5,696.63

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Solution

The fourth proportional to 10,412.40, 14,368.99 and 5,696.63 is: 7,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.40 : 14,368.99 = 5,696.63 : x
  2. Step 2: Convert to fraction form
    10,412.40/14,368.99 = 5,696.63/x
  3. Step 3: Cross multiply
    10,412.40x = 14,368.99 × 5,696.63
  4. Step 4: Simplify right side
    10,412.40x = 81,854,819.50
  5. Step 5: Solve for x
    x = 81,854,819.50/10,412.40
  6. Step 6: Final answer
    x = 7,861.28

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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.