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Finding the Fourth Proportional to 9,799.84, 14,695.30 and 5,852.85

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Solution

The fourth proportional to 9,799.84, 14,695.30 and 5,852.85 is: 8,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.84 : 14,695.30 = 5,852.85 : x
  2. Step 2: Convert to fraction form
    9,799.84/14,695.30 = 5,852.85/x
  3. Step 3: Cross multiply
    9,799.84x = 14,695.30 × 5,852.85
  4. Step 4: Simplify right side
    9,799.84x = 86,009,386.61
  5. Step 5: Solve for x
    x = 86,009,386.61/9,799.84
  6. Step 6: Final answer
    x = 8,776.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.