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Finding the Fourth Proportional to 8,483.94, 11,707.74 and 4,707.09

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Solution

The fourth proportional to 8,483.94, 11,707.74 and 4,707.09 is: 6,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.94 : 11,707.74 = 4,707.09 : x
  2. Step 2: Convert to fraction form
    8,483.94/11,707.74 = 4,707.09/x
  3. Step 3: Cross multiply
    8,483.94x = 11,707.74 × 4,707.09
  4. Step 4: Simplify right side
    8,483.94x = 55,109,385.88
  5. Step 5: Solve for x
    x = 55,109,385.88/8,483.94
  6. Step 6: Final answer
    x = 6,495.73

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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.