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Finding the Fourth Proportional to 7,852.32, 10,825.50 and 5,929.74

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Solution

The fourth proportional to 7,852.32, 10,825.50 and 5,929.74 is: 8,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.32 : 10,825.50 = 5,929.74 : x
  2. Step 2: Convert to fraction form
    7,852.32/10,825.50 = 5,929.74/x
  3. Step 3: Cross multiply
    7,852.32x = 10,825.50 × 5,929.74
  4. Step 4: Simplify right side
    7,852.32x = 64,192,400.37
  5. Step 5: Solve for x
    x = 64,192,400.37/7,852.32
  6. Step 6: Final answer
    x = 8,174.96

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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.