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Finding the Fourth Proportional to 4,774.70, 7,154.22 and 4,592.45

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Solution

The fourth proportional to 4,774.70, 7,154.22 and 4,592.45 is: 6,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.70 : 7,154.22 = 4,592.45 : x
  2. Step 2: Convert to fraction form
    4,774.70/7,154.22 = 4,592.45/x
  3. Step 3: Cross multiply
    4,774.70x = 7,154.22 × 4,592.45
  4. Step 4: Simplify right side
    4,774.70x = 32,855,397.64
  5. Step 5: Solve for x
    x = 32,855,397.64/4,774.70
  6. Step 6: Final answer
    x = 6,881.14

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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.