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Finding the Fourth Proportional to 8,483.69, 11,707.26 and 4,706.84

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Solution

The fourth proportional to 8,483.69, 11,707.26 and 4,706.84 is: 6,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.69 : 11,707.26 = 4,706.84 : x
  2. Step 2: Convert to fraction form
    8,483.69/11,707.26 = 4,706.84/x
  3. Step 3: Cross multiply
    8,483.69x = 11,707.26 × 4,706.84
  4. Step 4: Simplify right side
    8,483.69x = 55,104,199.66
  5. Step 5: Solve for x
    x = 55,104,199.66/8,483.69
  6. Step 6: Final answer
    x = 6,495.31

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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.