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Finding the Fourth Proportional to 9,867, 14,802.32 and 6,356.86

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Solution

The fourth proportional to 9,867, 14,802.32 and 6,356.86 is: 9,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867 : 14,802.32 = 6,356.86 : x
  2. Step 2: Convert to fraction form
    9,867/14,802.32 = 6,356.86/x
  3. Step 3: Cross multiply
    9,867x = 14,802.32 × 6,356.86
  4. Step 4: Simplify right side
    9,867x = 94,096,275.92
  5. Step 5: Solve for x
    x = 94,096,275.92/9,867
  6. Step 6: Final answer
    x = 9,536.46

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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.