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Finding the Fourth Proportional to 10,802.32, 14,906.16 and 7,971.26

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Solution

The fourth proportional to 10,802.32, 14,906.16 and 7,971.26 is: 10,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.32 : 14,906.16 = 7,971.26 : x
  2. Step 2: Convert to fraction form
    10,802.32/14,906.16 = 7,971.26/x
  3. Step 3: Cross multiply
    10,802.32x = 14,906.16 × 7,971.26
  4. Step 4: Simplify right side
    10,802.32x = 118,820,802.43
  5. Step 5: Solve for x
    x = 118,820,802.43/10,802.32
  6. Step 6: Final answer
    x = 10,999.57

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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.