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Finding the Fourth Proportional to 9,798.03, 14,686.16 and 4,871.25

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Solution

The fourth proportional to 9,798.03, 14,686.16 and 4,871.25 is: 7,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.03 : 14,686.16 = 4,871.25 : x
  2. Step 2: Convert to fraction form
    9,798.03/14,686.16 = 4,871.25/x
  3. Step 3: Cross multiply
    9,798.03x = 14,686.16 × 4,871.25
  4. Step 4: Simplify right side
    9,798.03x = 71,539,981.44
  5. Step 5: Solve for x
    x = 71,539,981.44/9,798.03
  6. Step 6: Final answer
    x = 7,301.46

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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.