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Finding the Fourth Proportional to 12,706.80, 19,031.40 and 6,543.60

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Solution

The fourth proportional to 12,706.80, 19,031.40 and 6,543.60 is: 9,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.80 : 19,031.40 = 6,543.60 : x
  2. Step 2: Convert to fraction form
    12,706.80/19,031.40 = 6,543.60/x
  3. Step 3: Cross multiply
    12,706.80x = 19,031.40 × 6,543.60
  4. Step 4: Simplify right side
    12,706.80x = 124,533,869.04
  5. Step 5: Solve for x
    x = 124,533,869.04/12,706.80
  6. Step 6: Final answer
    x = 9,800.57

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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.