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Finding the Fourth Proportional to 4,774.52, 7,123.01 and 4,516.17

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Solution

The fourth proportional to 4,774.52, 7,123.01 and 4,516.17 is: 6,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.52 : 7,123.01 = 4,516.17 : x
  2. Step 2: Convert to fraction form
    4,774.52/7,123.01 = 4,516.17/x
  3. Step 3: Cross multiply
    4,774.52x = 7,123.01 × 4,516.17
  4. Step 4: Simplify right side
    4,774.52x = 32,168,724.07
  5. Step 5: Solve for x
    x = 32,168,724.07/4,774.52
  6. Step 6: Final answer
    x = 6,737.58

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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.