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Finding the Fourth Proportional to 6,470.30, 9,712.65 and 6,047.30

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Solution

The fourth proportional to 6,470.30, 9,712.65 and 6,047.30 is: 9,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.30 : 9,712.65 = 6,047.30 : x
  2. Step 2: Convert to fraction form
    6,470.30/9,712.65 = 6,047.30/x
  3. Step 3: Cross multiply
    6,470.30x = 9,712.65 × 6,047.30
  4. Step 4: Simplify right side
    6,470.30x = 58,735,308.35
  5. Step 5: Solve for x
    x = 58,735,308.35/6,470.30
  6. Step 6: Final answer
    x = 9,077.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.