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Finding the Fourth Proportional to 9,756.25, 13,460.48 and 5,975.47

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Solution

The fourth proportional to 9,756.25, 13,460.48 and 5,975.47 is: 8,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.25 : 13,460.48 = 5,975.47 : x
  2. Step 2: Convert to fraction form
    9,756.25/13,460.48 = 5,975.47/x
  3. Step 3: Cross multiply
    9,756.25x = 13,460.48 × 5,975.47
  4. Step 4: Simplify right side
    9,756.25x = 80,432,703.78
  5. Step 5: Solve for x
    x = 80,432,703.78/9,756.25
  6. Step 6: Final answer
    x = 8,244.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.