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Finding the Fourth Proportional to 7,633, 10,533.54 and 4,321

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Solution

The fourth proportional to 7,633, 10,533.54 and 4,321 is: 5,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633 : 10,533.54 = 4,321 : x
  2. Step 2: Convert to fraction form
    7,633/10,533.54 = 4,321/x
  3. Step 3: Cross multiply
    7,633x = 10,533.54 × 4,321
  4. Step 4: Simplify right side
    7,633x = 45,515,426.34
  5. Step 5: Solve for x
    x = 45,515,426.34/7,633
  6. Step 6: Final answer
    x = 5,962.98

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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.