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Finding the Fourth Proportional to 9,585.84, 14,384.91 and 4,652.79

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Solution

The fourth proportional to 9,585.84, 14,384.91 and 4,652.79 is: 6,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.84 : 14,384.91 = 4,652.79 : x
  2. Step 2: Convert to fraction form
    9,585.84/14,384.91 = 4,652.79/x
  3. Step 3: Cross multiply
    9,585.84x = 14,384.91 × 4,652.79
  4. Step 4: Simplify right side
    9,585.84x = 66,929,942.13
  5. Step 5: Solve for x
    x = 66,929,942.13/9,585.84
  6. Step 6: Final answer
    x = 6,982.17

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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.