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Finding the Fourth Proportional to 8,470.54, 11,686.44 and 4,934.89

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Solution

The fourth proportional to 8,470.54, 11,686.44 and 4,934.89 is: 6,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.54 : 11,686.44 = 4,934.89 : x
  2. Step 2: Convert to fraction form
    8,470.54/11,686.44 = 4,934.89/x
  3. Step 3: Cross multiply
    8,470.54x = 11,686.44 × 4,934.89
  4. Step 4: Simplify right side
    8,470.54x = 57,671,295.89
  5. Step 5: Solve for x
    x = 57,671,295.89/8,470.54
  6. Step 6: Final answer
    x = 6,808.46

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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.