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Finding the Fourth Proportional to 10,802.16, 14,905.22 and 6,086.34

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Solution

The fourth proportional to 10,802.16, 14,905.22 and 6,086.34 is: 8,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.16 : 14,905.22 = 6,086.34 : x
  2. Step 2: Convert to fraction form
    10,802.16/14,905.22 = 6,086.34/x
  3. Step 3: Cross multiply
    10,802.16x = 14,905.22 × 6,086.34
  4. Step 4: Simplify right side
    10,802.16x = 90,718,206.26
  5. Step 5: Solve for x
    x = 90,718,206.26/10,802.16
  6. Step 6: Final answer
    x = 8,398.15

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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.