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Finding the Fourth Proportional to 9,874.84, 14,799.49 and 7,390.16

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Solution

The fourth proportional to 9,874.84, 14,799.49 and 7,390.16 is: 11,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.84 : 14,799.49 = 7,390.16 : x
  2. Step 2: Convert to fraction form
    9,874.84/14,799.49 = 7,390.16/x
  3. Step 3: Cross multiply
    9,874.84x = 14,799.49 × 7,390.16
  4. Step 4: Simplify right side
    9,874.84x = 109,370,599.02
  5. Step 5: Solve for x
    x = 109,370,599.02/9,874.84
  6. Step 6: Final answer
    x = 11,075.68

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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.