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Finding the Fourth Proportional to 9,798.30, 14,698.14 and 4,862.96

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Solution

The fourth proportional to 9,798.30, 14,698.14 and 4,862.96 is: 7,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.30 : 14,698.14 = 4,862.96 : x
  2. Step 2: Convert to fraction form
    9,798.30/14,698.14 = 4,862.96/x
  3. Step 3: Cross multiply
    9,798.30x = 14,698.14 × 4,862.96
  4. Step 4: Simplify right side
    9,798.30x = 71,476,466.89
  5. Step 5: Solve for x
    x = 71,476,466.89/9,798.30
  6. Step 6: Final answer
    x = 7,294.78

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1.5x scale

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.