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Finding the Fourth Proportional to 9,782.85, 14,657.51 and 6,571.12

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Solution

The fourth proportional to 9,782.85, 14,657.51 and 6,571.12 is: 9,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.85 : 14,657.51 = 6,571.12 : x
  2. Step 2: Convert to fraction form
    9,782.85/14,657.51 = 6,571.12/x
  3. Step 3: Cross multiply
    9,782.85x = 14,657.51 × 6,571.12
  4. Step 4: Simplify right side
    9,782.85x = 96,316,242.58
  5. Step 5: Solve for x
    x = 96,316,242.58/9,782.85
  6. Step 6: Final answer
    x = 9,845.42

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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.