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Finding the Fourth Proportional to 9,798.48, 14,697.90 and 2,403.00

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Solution

The fourth proportional to 9,798.48, 14,697.90 and 2,403.00 is: 3,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.48 : 14,697.90 = 2,403.00 : x
  2. Step 2: Convert to fraction form
    9,798.48/14,697.90 = 2,403.00/x
  3. Step 3: Cross multiply
    9,798.48x = 14,697.90 × 2,403.00
  4. Step 4: Simplify right side
    9,798.48x = 35,318,968.20
  5. Step 5: Solve for x
    x = 35,318,968.20/9,798.48
  6. Step 6: Final answer
    x = 3,604.54

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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.