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Finding the Fourth Proportional to 10,699.68, 14,764.80 and 6,224.16

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Solution

The fourth proportional to 10,699.68, 14,764.80 and 6,224.16 is: 8,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.68 : 14,764.80 = 6,224.16 : x
  2. Step 2: Convert to fraction form
    10,699.68/14,764.80 = 6,224.16/x
  3. Step 3: Cross multiply
    10,699.68x = 14,764.80 × 6,224.16
  4. Step 4: Simplify right side
    10,699.68x = 91,898,477.57
  5. Step 5: Solve for x
    x = 91,898,477.57/10,699.68
  6. Step 6: Final answer
    x = 8,588.90

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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.