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Finding the Fourth Proportional to 9,798.04, 14,693.10 and 4,600.36

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Solution

The fourth proportional to 9,798.04, 14,693.10 and 4,600.36 is: 6,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.04 : 14,693.10 = 4,600.36 : x
  2. Step 2: Convert to fraction form
    9,798.04/14,693.10 = 4,600.36/x
  3. Step 3: Cross multiply
    9,798.04x = 14,693.10 × 4,600.36
  4. Step 4: Simplify right side
    9,798.04x = 67,593,549.52
  5. Step 5: Solve for x
    x = 67,593,549.52/9,798.04
  6. Step 6: Final answer
    x = 6,898.68

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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.