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Finding the Fourth Proportional to 8,483.07, 11,706.65 and 4,706.10

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Solution

The fourth proportional to 8,483.07, 11,706.65 and 4,706.10 is: 6,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.07 : 11,706.65 = 4,706.10 : x
  2. Step 2: Convert to fraction form
    8,483.07/11,706.65 = 4,706.10/x
  3. Step 3: Cross multiply
    8,483.07x = 11,706.65 × 4,706.10
  4. Step 4: Simplify right side
    8,483.07x = 55,092,642.03
  5. Step 5: Solve for x
    x = 55,092,642.03/8,483.07
  6. Step 6: Final answer
    x = 6,494.42

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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.