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Finding the Fourth Proportional to 12,283.02, 16,948.98 and 6,978.33

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Solution

The fourth proportional to 12,283.02, 16,948.98 and 6,978.33 is: 9,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.02 : 16,948.98 = 6,978.33 : x
  2. Step 2: Convert to fraction form
    12,283.02/16,948.98 = 6,978.33/x
  3. Step 3: Cross multiply
    12,283.02x = 16,948.98 × 6,978.33
  4. Step 4: Simplify right side
    12,283.02x = 118,275,575.60
  5. Step 5: Solve for x
    x = 118,275,575.60/12,283.02
  6. Step 6: Final answer
    x = 9,629.19

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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.