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Finding the Fourth Proportional to 5,098.96, 7,613.93 and 4,047.16

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Solution

The fourth proportional to 5,098.96, 7,613.93 and 4,047.16 is: 6,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.96 : 7,613.93 = 4,047.16 : x
  2. Step 2: Convert to fraction form
    5,098.96/7,613.93 = 4,047.16/x
  3. Step 3: Cross multiply
    5,098.96x = 7,613.93 × 4,047.16
  4. Step 4: Simplify right side
    5,098.96x = 30,814,792.94
  5. Step 5: Solve for x
    x = 30,814,792.94/5,098.96
  6. Step 6: Final answer
    x = 6,043.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.