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Finding the Fourth Proportional to 7,137.70, 9,848.88 and 4,483.24

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Solution

The fourth proportional to 7,137.70, 9,848.88 and 4,483.24 is: 6,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.70 : 9,848.88 = 4,483.24 : x
  2. Step 2: Convert to fraction form
    7,137.70/9,848.88 = 4,483.24/x
  3. Step 3: Cross multiply
    7,137.70x = 9,848.88 × 4,483.24
  4. Step 4: Simplify right side
    7,137.70x = 44,154,892.77
  5. Step 5: Solve for x
    x = 44,154,892.77/7,137.70
  6. Step 6: Final answer
    x = 6,186.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.