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Finding the Fourth Proportional to 9,561.57, 14,339.71 and 6,780.03

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Solution

The fourth proportional to 9,561.57, 14,339.71 and 6,780.03 is: 10,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.57 : 14,339.71 = 6,780.03 : x
  2. Step 2: Convert to fraction form
    9,561.57/14,339.71 = 6,780.03/x
  3. Step 3: Cross multiply
    9,561.57x = 14,339.71 × 6,780.03
  4. Step 4: Simplify right side
    9,561.57x = 97,223,663.99
  5. Step 5: Solve for x
    x = 97,223,663.99/9,561.57
  6. Step 6: Final answer
    x = 10,168.17

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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.