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Finding the Fourth Proportional to 6,988.46, 10,480.46 and 2,307.60

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Solution

The fourth proportional to 6,988.46, 10,480.46 and 2,307.60 is: 3,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.46 : 10,480.46 = 2,307.60 : x
  2. Step 2: Convert to fraction form
    6,988.46/10,480.46 = 2,307.60/x
  3. Step 3: Cross multiply
    6,988.46x = 10,480.46 × 2,307.60
  4. Step 4: Simplify right side
    6,988.46x = 24,184,697.96
  5. Step 5: Solve for x
    x = 24,184,697.96/6,988.46
  6. Step 6: Final answer
    x = 3,460.66

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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.