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Finding the Fourth Proportional to 7,570.01, 10,446.54 and 4,213.04

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Solution

The fourth proportional to 7,570.01, 10,446.54 and 4,213.04 is: 5,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.01 : 10,446.54 = 4,213.04 : x
  2. Step 2: Convert to fraction form
    7,570.01/10,446.54 = 4,213.04/x
  3. Step 3: Cross multiply
    7,570.01x = 10,446.54 × 4,213.04
  4. Step 4: Simplify right side
    7,570.01x = 44,011,638.65
  5. Step 5: Solve for x
    x = 44,011,638.65/7,570.01
  6. Step 6: Final answer
    x = 5,813.95

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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.