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Finding the Fourth Proportional to 9,248, 12,762.24 and 5,056.25

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Solution

The fourth proportional to 9,248, 12,762.24 and 5,056.25 is: 6,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248 : 12,762.24 = 5,056.25 : x
  2. Step 2: Convert to fraction form
    9,248/12,762.24 = 5,056.25/x
  3. Step 3: Cross multiply
    9,248x = 12,762.24 × 5,056.25
  4. Step 4: Simplify right side
    9,248x = 64,529,076
  5. Step 5: Solve for x
    x = 64,529,076/9,248
  6. Step 6: Final answer
    x = 6,977.63

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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.