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Finding the Fourth Proportional to 9,849.04, 14,782.42 and 6,678.80

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Solution

The fourth proportional to 9,849.04, 14,782.42 and 6,678.80 is: 10,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.04 : 14,782.42 = 6,678.80 : x
  2. Step 2: Convert to fraction form
    9,849.04/14,782.42 = 6,678.80/x
  3. Step 3: Cross multiply
    9,849.04x = 14,782.42 × 6,678.80
  4. Step 4: Simplify right side
    9,849.04x = 98,728,826.70
  5. Step 5: Solve for x
    x = 98,728,826.70/9,849.04
  6. Step 6: Final answer
    x = 10,024.21

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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.