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Finding the Fourth Proportional to 9,898.57, 14,848.03 and 4,630.66

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Solution

The fourth proportional to 9,898.57, 14,848.03 and 4,630.66 is: 6,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.57 : 14,848.03 = 4,630.66 : x
  2. Step 2: Convert to fraction form
    9,898.57/14,848.03 = 4,630.66/x
  3. Step 3: Cross multiply
    9,898.57x = 14,848.03 × 4,630.66
  4. Step 4: Simplify right side
    9,898.57x = 68,756,178.60
  5. Step 5: Solve for x
    x = 68,756,178.60/9,898.57
  6. Step 6: Final answer
    x = 6,946.07

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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.