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Finding the Fourth Proportional to 7,070.92, 10,608.54 and 2,457.16

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Solution

The fourth proportional to 7,070.92, 10,608.54 and 2,457.16 is: 3,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.92 : 10,608.54 = 2,457.16 : x
  2. Step 2: Convert to fraction form
    7,070.92/10,608.54 = 2,457.16/x
  3. Step 3: Cross multiply
    7,070.92x = 10,608.54 × 2,457.16
  4. Step 4: Simplify right side
    7,070.92x = 26,066,880.15
  5. Step 5: Solve for x
    x = 26,066,880.15/7,070.92
  6. Step 6: Final answer
    x = 3,686.49

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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.