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Finding the Fourth Proportional to 10,792.33, 14,893.01 and 6,012.16

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Solution

The fourth proportional to 10,792.33, 14,893.01 and 6,012.16 is: 8,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.33 : 14,893.01 = 6,012.16 : x
  2. Step 2: Convert to fraction form
    10,792.33/14,893.01 = 6,012.16/x
  3. Step 3: Cross multiply
    10,792.33x = 14,893.01 × 6,012.16
  4. Step 4: Simplify right side
    10,792.33x = 89,539,159.00
  5. Step 5: Solve for x
    x = 89,539,159.00/10,792.33
  6. Step 6: Final answer
    x = 8,296.55

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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.