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Finding the Fourth Proportional to 8,390.70, 11,580.12 and 5,034.60

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Solution

The fourth proportional to 8,390.70, 11,580.12 and 5,034.60 is: 6,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.70 : 11,580.12 = 5,034.60 : x
  2. Step 2: Convert to fraction form
    8,390.70/11,580.12 = 5,034.60/x
  3. Step 3: Cross multiply
    8,390.70x = 11,580.12 × 5,034.60
  4. Step 4: Simplify right side
    8,390.70x = 58,301,272.15
  5. Step 5: Solve for x
    x = 58,301,272.15/8,390.70
  6. Step 6: Final answer
    x = 6,948.32

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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.