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Finding the Fourth Proportional to 9,802.08, 14,712.84 and 7,974.72

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Solution

The fourth proportional to 9,802.08, 14,712.84 and 7,974.72 is: 11,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.08 : 14,712.84 = 7,974.72 : x
  2. Step 2: Convert to fraction form
    9,802.08/14,712.84 = 7,974.72/x
  3. Step 3: Cross multiply
    9,802.08x = 14,712.84 × 7,974.72
  4. Step 4: Simplify right side
    9,802.08x = 117,330,779.40
  5. Step 5: Solve for x
    x = 117,330,779.40/9,802.08
  6. Step 6: Final answer
    x = 11,969.99

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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.