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Finding the Fourth Proportional to 6,578.40, 9,868.98 and 1,898.40

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Solution

The fourth proportional to 6,578.40, 9,868.98 and 1,898.40 is: 2,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.40 : 9,868.98 = 1,898.40 : x
  2. Step 2: Convert to fraction form
    6,578.40/9,868.98 = 1,898.40/x
  3. Step 3: Cross multiply
    6,578.40x = 9,868.98 × 1,898.40
  4. Step 4: Simplify right side
    6,578.40x = 18,735,271.63
  5. Step 5: Solve for x
    x = 18,735,271.63/6,578.40
  6. Step 6: Final answer
    x = 2,848.00

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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.