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Finding the Fourth Proportional to 8,698.64, 13,038.72 and 2,853.68

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Solution

The fourth proportional to 8,698.64, 13,038.72 and 2,853.68 is: 4,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.64 : 13,038.72 = 2,853.68 : x
  2. Step 2: Convert to fraction form
    8,698.64/13,038.72 = 2,853.68/x
  3. Step 3: Cross multiply
    8,698.64x = 13,038.72 × 2,853.68
  4. Step 4: Simplify right side
    8,698.64x = 37,208,334.49
  5. Step 5: Solve for x
    x = 37,208,334.49/8,698.64
  6. Step 6: Final answer
    x = 4,277.49

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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.