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Finding the Fourth Proportional to 9,907.84, 14,859.28 and 4,066.08

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Solution

The fourth proportional to 9,907.84, 14,859.28 and 4,066.08 is: 6,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.84 : 14,859.28 = 4,066.08 : x
  2. Step 2: Convert to fraction form
    9,907.84/14,859.28 = 4,066.08/x
  3. Step 3: Cross multiply
    9,907.84x = 14,859.28 × 4,066.08
  4. Step 4: Simplify right side
    9,907.84x = 60,419,021.22
  5. Step 5: Solve for x
    x = 60,419,021.22/9,907.84
  6. Step 6: Final answer
    x = 6,098.10

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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.