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Finding the Fourth Proportional to 10,970.60, 16,458.64 and 6,295.88

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Solution

The fourth proportional to 10,970.60, 16,458.64 and 6,295.88 is: 9,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.60 : 16,458.64 = 6,295.88 : x
  2. Step 2: Convert to fraction form
    10,970.60/16,458.64 = 6,295.88/x
  3. Step 3: Cross multiply
    10,970.60x = 16,458.64 × 6,295.88
  4. Step 4: Simplify right side
    10,970.60x = 103,621,622.40
  5. Step 5: Solve for x
    x = 103,621,622.40/10,970.60
  6. Step 6: Final answer
    x = 9,445.39

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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.