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Finding the Fourth Proportional to 6,548.97, 9,824.98 and 1,869.05

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Solution

The fourth proportional to 6,548.97, 9,824.98 and 1,869.05 is: 2,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.97 : 9,824.98 = 1,869.05 : x
  2. Step 2: Convert to fraction form
    6,548.97/9,824.98 = 1,869.05/x
  3. Step 3: Cross multiply
    6,548.97x = 9,824.98 × 1,869.05
  4. Step 4: Simplify right side
    6,548.97x = 18,363,325.07
  5. Step 5: Solve for x
    x = 18,363,325.07/6,548.97
  6. Step 6: Final answer
    x = 2,804.00

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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.