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Finding the Fourth Proportional to 7,192.32, 9,927.16 and 4,802.42

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Solution

The fourth proportional to 7,192.32, 9,927.16 and 4,802.42 is: 6,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.32 : 9,927.16 = 4,802.42 : x
  2. Step 2: Convert to fraction form
    7,192.32/9,927.16 = 4,802.42/x
  3. Step 3: Cross multiply
    7,192.32x = 9,927.16 × 4,802.42
  4. Step 4: Simplify right side
    7,192.32x = 47,674,391.73
  5. Step 5: Solve for x
    x = 47,674,391.73/7,192.32
  6. Step 6: Final answer
    x = 6,628.51

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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.