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Finding the Fourth Proportional to 9,498.88, 14,223.48 and 6,710.48

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Solution

The fourth proportional to 9,498.88, 14,223.48 and 6,710.48 is: 10,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.88 : 14,223.48 = 6,710.48 : x
  2. Step 2: Convert to fraction form
    9,498.88/14,223.48 = 6,710.48/x
  3. Step 3: Cross multiply
    9,498.88x = 14,223.48 × 6,710.48
  4. Step 4: Simplify right side
    9,498.88x = 95,446,378.07
  5. Step 5: Solve for x
    x = 95,446,378.07/9,498.88
  6. Step 6: Final answer
    x = 10,048.17

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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.