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Finding the Fourth Proportional to 15,802.56, 21,808.56 and 9,834.48

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Solution

The fourth proportional to 15,802.56, 21,808.56 and 9,834.48 is: 13,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.56 : 21,808.56 = 9,834.48 : x
  2. Step 2: Convert to fraction form
    15,802.56/21,808.56 = 9,834.48/x
  3. Step 3: Cross multiply
    15,802.56x = 21,808.56 × 9,834.48
  4. Step 4: Simplify right side
    15,802.56x = 214,475,847.15
  5. Step 5: Solve for x
    x = 214,475,847.15/15,802.56
  6. Step 6: Final answer
    x = 13,572.22

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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.