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Finding the Fourth Proportional to 9,797.82, 14,683.90 and 4,532.16

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Solution

The fourth proportional to 9,797.82, 14,683.90 and 4,532.16 is: 6,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.82 : 14,683.90 = 4,532.16 : x
  2. Step 2: Convert to fraction form
    9,797.82/14,683.90 = 4,532.16/x
  3. Step 3: Cross multiply
    9,797.82x = 14,683.90 × 4,532.16
  4. Step 4: Simplify right side
    9,797.82x = 66,549,784.22
  5. Step 5: Solve for x
    x = 66,549,784.22/9,797.82
  6. Step 6: Final answer
    x = 6,792.31

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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.