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Finding the Fourth Proportional to 7,193.81, 9,927.46 and 4,210.22

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Solution

The fourth proportional to 7,193.81, 9,927.46 and 4,210.22 is: 5,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.81 : 9,927.46 = 4,210.22 : x
  2. Step 2: Convert to fraction form
    7,193.81/9,927.46 = 4,210.22/x
  3. Step 3: Cross multiply
    7,193.81x = 9,927.46 × 4,210.22
  4. Step 4: Simplify right side
    7,193.81x = 41,796,719.95
  5. Step 5: Solve for x
    x = 41,796,719.95/7,193.81
  6. Step 6: Final answer
    x = 5,810.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.