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Finding the Fourth Proportional to 6,611.62, 9,904.35 and 4,970.02

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Solution

The fourth proportional to 6,611.62, 9,904.35 and 4,970.02 is: 7,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.62 : 9,904.35 = 4,970.02 : x
  2. Step 2: Convert to fraction form
    6,611.62/9,904.35 = 4,970.02/x
  3. Step 3: Cross multiply
    6,611.62x = 9,904.35 × 4,970.02
  4. Step 4: Simplify right side
    6,611.62x = 49,224,817.59
  5. Step 5: Solve for x
    x = 49,224,817.59/6,611.62
  6. Step 6: Final answer
    x = 7,445.20

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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.