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Finding the Fourth Proportional to 6,199, 8,554.88 and 3,683.28

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Solution

The fourth proportional to 6,199, 8,554.88 and 3,683.28 is: 5,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199 : 8,554.88 = 3,683.28 : x
  2. Step 2: Convert to fraction form
    6,199/8,554.88 = 3,683.28/x
  3. Step 3: Cross multiply
    6,199x = 8,554.88 × 3,683.28
  4. Step 4: Simplify right side
    6,199x = 31,510,018.41
  5. Step 5: Solve for x
    x = 31,510,018.41/6,199
  6. Step 6: Final answer
    x = 5,083.08

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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.