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Finding the Fourth Proportional to 9,420.08, 12,999.06 and 5,228

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Solution

The fourth proportional to 9,420.08, 12,999.06 and 5,228 is: 7,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.08 : 12,999.06 = 5,228 : x
  2. Step 2: Convert to fraction form
    9,420.08/12,999.06 = 5,228/x
  3. Step 3: Cross multiply
    9,420.08x = 12,999.06 × 5,228
  4. Step 4: Simplify right side
    9,420.08x = 67,959,085.68
  5. Step 5: Solve for x
    x = 67,959,085.68/9,420.08
  6. Step 6: Final answer
    x = 7,214.28

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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.