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Finding the Fourth Proportional to 6,554.88, 9,834.24 and 1,938.24

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Solution

The fourth proportional to 6,554.88, 9,834.24 and 1,938.24 is: 2,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.88 : 9,834.24 = 1,938.24 : x
  2. Step 2: Convert to fraction form
    6,554.88/9,834.24 = 1,938.24/x
  3. Step 3: Cross multiply
    6,554.88x = 9,834.24 × 1,938.24
  4. Step 4: Simplify right side
    6,554.88x = 19,061,117.34
  5. Step 5: Solve for x
    x = 19,061,117.34/6,554.88
  6. Step 6: Final answer
    x = 2,907.93

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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.