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Finding the Fourth Proportional to 9,802.44, 14,703.66 and 6,893.76

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Solution

The fourth proportional to 9,802.44, 14,703.66 and 6,893.76 is: 10,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.44 : 14,703.66 = 6,893.76 : x
  2. Step 2: Convert to fraction form
    9,802.44/14,703.66 = 6,893.76/x
  3. Step 3: Cross multiply
    9,802.44x = 14,703.66 × 6,893.76
  4. Step 4: Simplify right side
    9,802.44x = 101,363,503.16
  5. Step 5: Solve for x
    x = 101,363,503.16/9,802.44
  6. Step 6: Final answer
    x = 10,340.64

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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.