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Finding the Fourth Proportional to 7,541.34, 10,407 and 4,184.16

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Solution

The fourth proportional to 7,541.34, 10,407 and 4,184.16 is: 5,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.34 : 10,407 = 4,184.16 : x
  2. Step 2: Convert to fraction form
    7,541.34/10,407 = 4,184.16/x
  3. Step 3: Cross multiply
    7,541.34x = 10,407 × 4,184.16
  4. Step 4: Simplify right side
    7,541.34x = 43,544,553.12
  5. Step 5: Solve for x
    x = 43,544,553.12/7,541.34
  6. Step 6: Final answer
    x = 5,774.11

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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.