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Finding the Fourth Proportional to 9,292.84, 12,823.64 and 5,516.16

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Solution

The fourth proportional to 9,292.84, 12,823.64 and 5,516.16 is: 7,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.84 : 12,823.64 = 5,516.16 : x
  2. Step 2: Convert to fraction form
    9,292.84/12,823.64 = 5,516.16/x
  3. Step 3: Cross multiply
    9,292.84x = 12,823.64 × 5,516.16
  4. Step 4: Simplify right side
    9,292.84x = 70,737,250.02
  5. Step 5: Solve for x
    x = 70,737,250.02/9,292.84
  6. Step 6: Final answer
    x = 7,612.02

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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.