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Finding the Fourth Proportional to 7,693.64, 10,616.58 and 4,549.28

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Solution

The fourth proportional to 7,693.64, 10,616.58 and 4,549.28 is: 6,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.64 : 10,616.58 = 4,549.28 : x
  2. Step 2: Convert to fraction form
    7,693.64/10,616.58 = 4,549.28/x
  3. Step 3: Cross multiply
    7,693.64x = 10,616.58 × 4,549.28
  4. Step 4: Simplify right side
    7,693.64x = 48,297,795.06
  5. Step 5: Solve for x
    x = 48,297,795.06/7,693.64
  6. Step 6: Final answer
    x = 6,277.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.