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Finding the Fourth Proportional to 9,883.90, 14,803.92 and 7,102.22

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Solution

The fourth proportional to 9,883.90, 14,803.92 and 7,102.22 is: 10,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.90 : 14,803.92 = 7,102.22 : x
  2. Step 2: Convert to fraction form
    9,883.90/14,803.92 = 7,102.22/x
  3. Step 3: Cross multiply
    9,883.90x = 14,803.92 × 7,102.22
  4. Step 4: Simplify right side
    9,883.90x = 105,140,696.70
  5. Step 5: Solve for x
    x = 105,140,696.70/9,883.90
  6. Step 6: Final answer
    x = 10,637.57

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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.