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Finding the Fourth Proportional to 4,706.10, 7,059.15 and 4,159.35

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Solution

The fourth proportional to 4,706.10, 7,059.15 and 4,159.35 is: 6,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.10 : 7,059.15 = 4,159.35 : x
  2. Step 2: Convert to fraction form
    4,706.10/7,059.15 = 4,159.35/x
  3. Step 3: Cross multiply
    4,706.10x = 7,059.15 × 4,159.35
  4. Step 4: Simplify right side
    4,706.10x = 29,361,475.55
  5. Step 5: Solve for x
    x = 29,361,475.55/4,706.10
  6. Step 6: Final answer
    x = 6,239.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.