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Finding the Fourth Proportional to 7,465, 10,301.74 and 4,153

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Solution

The fourth proportional to 7,465, 10,301.74 and 4,153 is: 5,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465 : 10,301.74 = 4,153 : x
  2. Step 2: Convert to fraction form
    7,465/10,301.74 = 4,153/x
  3. Step 3: Cross multiply
    7,465x = 10,301.74 × 4,153
  4. Step 4: Simplify right side
    7,465x = 42,783,126.22
  5. Step 5: Solve for x
    x = 42,783,126.22/7,465
  6. Step 6: Final answer
    x = 5,731.16

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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.