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Finding the Fourth Proportional to 8,283.91, 11,430.94 and 4,698.14

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Solution

The fourth proportional to 8,283.91, 11,430.94 and 4,698.14 is: 6,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.91 : 11,430.94 = 4,698.14 : x
  2. Step 2: Convert to fraction form
    8,283.91/11,430.94 = 4,698.14/x
  3. Step 3: Cross multiply
    8,283.91x = 11,430.94 × 4,698.14
  4. Step 4: Simplify right side
    8,283.91x = 53,704,160.66
  5. Step 5: Solve for x
    x = 53,704,160.66/8,283.91
  6. Step 6: Final answer
    x = 6,482.95

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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.