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Finding the Fourth Proportional to 7,193.32, 9,927.54 and 4,210.12

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Solution

The fourth proportional to 7,193.32, 9,927.54 and 4,210.12 is: 5,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.32 : 9,927.54 = 4,210.12 : x
  2. Step 2: Convert to fraction form
    7,193.32/9,927.54 = 4,210.12/x
  3. Step 3: Cross multiply
    7,193.32x = 9,927.54 × 4,210.12
  4. Step 4: Simplify right side
    7,193.32x = 41,796,134.70
  5. Step 5: Solve for x
    x = 41,796,134.70/7,193.32
  6. Step 6: Final answer
    x = 5,810.41

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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.