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Finding the Fourth Proportional to 9,706.62, 14,559.96 and 6,419.04

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Solution

The fourth proportional to 9,706.62, 14,559.96 and 6,419.04 is: 9,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.62 : 14,559.96 = 6,419.04 : x
  2. Step 2: Convert to fraction form
    9,706.62/14,559.96 = 6,419.04/x
  3. Step 3: Cross multiply
    9,706.62x = 14,559.96 × 6,419.04
  4. Step 4: Simplify right side
    9,706.62x = 93,460,965.64
  5. Step 5: Solve for x
    x = 93,460,965.64/9,706.62
  6. Step 6: Final answer
    x = 9,628.58

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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.