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Finding the Fourth Proportional to 7,193.58, 9,922.02 and 4,802.35

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Solution

The fourth proportional to 7,193.58, 9,922.02 and 4,802.35 is: 6,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.58 : 9,922.02 = 4,802.35 : x
  2. Step 2: Convert to fraction form
    7,193.58/9,922.02 = 4,802.35/x
  3. Step 3: Cross multiply
    7,193.58x = 9,922.02 × 4,802.35
  4. Step 4: Simplify right side
    7,193.58x = 47,649,012.75
  5. Step 5: Solve for x
    x = 47,649,012.75/7,193.58
  6. Step 6: Final answer
    x = 6,623.82

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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.