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Finding the Fourth Proportional to 10,409.63, 14,364.99 and 5,693.81

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Solution

The fourth proportional to 10,409.63, 14,364.99 and 5,693.81 is: 7,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.63 : 14,364.99 = 5,693.81 : x
  2. Step 2: Convert to fraction form
    10,409.63/14,364.99 = 5,693.81/x
  3. Step 3: Cross multiply
    10,409.63x = 14,364.99 × 5,693.81
  4. Step 4: Simplify right side
    10,409.63x = 81,791,523.71
  5. Step 5: Solve for x
    x = 81,791,523.71/10,409.63
  6. Step 6: Final answer
    x = 7,857.29

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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.