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Finding the Fourth Proportional to 6,154.98, 9,225.99 and 3,070.50

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Solution

The fourth proportional to 6,154.98, 9,225.99 and 3,070.50 is: 4,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.98 : 9,225.99 = 3,070.50 : x
  2. Step 2: Convert to fraction form
    6,154.98/9,225.99 = 3,070.50/x
  3. Step 3: Cross multiply
    6,154.98x = 9,225.99 × 3,070.50
  4. Step 4: Simplify right side
    6,154.98x = 28,328,402.30
  5. Step 5: Solve for x
    x = 28,328,402.30/6,154.98
  6. Step 6: Final answer
    x = 4,602.52

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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.