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Finding the Fourth Proportional to 8,970.30, 13,451.40 and 4,037.40

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Solution

The fourth proportional to 8,970.30, 13,451.40 and 4,037.40 is: 6,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.30 : 13,451.40 = 4,037.40 : x
  2. Step 2: Convert to fraction form
    8,970.30/13,451.40 = 4,037.40/x
  3. Step 3: Cross multiply
    8,970.30x = 13,451.40 × 4,037.40
  4. Step 4: Simplify right side
    8,970.30x = 54,308,682.36
  5. Step 5: Solve for x
    x = 54,308,682.36/8,970.30
  6. Step 6: Final answer
    x = 6,054.28

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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.