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Finding the Fourth Proportional to 8,470.15, 11,688.48 and 4,693.48

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Solution

The fourth proportional to 8,470.15, 11,688.48 and 4,693.48 is: 6,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.15 : 11,688.48 = 4,693.48 : x
  2. Step 2: Convert to fraction form
    8,470.15/11,688.48 = 4,693.48/x
  3. Step 3: Cross multiply
    8,470.15x = 11,688.48 × 4,693.48
  4. Step 4: Simplify right side
    8,470.15x = 54,859,647.11
  5. Step 5: Solve for x
    x = 54,859,647.11/8,470.15
  6. Step 6: Final answer
    x = 6,476.82

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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.