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Finding the Fourth Proportional to 4,762.08, 7,102.98 and 4,616.28

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Solution

The fourth proportional to 4,762.08, 7,102.98 and 4,616.28 is: 6,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.08 : 7,102.98 = 4,616.28 : x
  2. Step 2: Convert to fraction form
    4,762.08/7,102.98 = 4,616.28/x
  3. Step 3: Cross multiply
    4,762.08x = 7,102.98 × 4,616.28
  4. Step 4: Simplify right side
    4,762.08x = 32,789,344.51
  5. Step 5: Solve for x
    x = 32,789,344.51/4,762.08
  6. Step 6: Final answer
    x = 6,885.51

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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.