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Finding the Fourth Proportional to 7,497.56, 10,346.10 and 4,354.04

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Solution

The fourth proportional to 7,497.56, 10,346.10 and 4,354.04 is: 6,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.56 : 10,346.10 = 4,354.04 : x
  2. Step 2: Convert to fraction form
    7,497.56/10,346.10 = 4,354.04/x
  3. Step 3: Cross multiply
    7,497.56x = 10,346.10 × 4,354.04
  4. Step 4: Simplify right side
    7,497.56x = 45,047,333.24
  5. Step 5: Solve for x
    x = 45,047,333.24/7,497.56
  6. Step 6: Final answer
    x = 6,008.27

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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.