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Finding the Fourth Proportional to 4,907.64, 7,362.72 and 1,444.92

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Solution

The fourth proportional to 4,907.64, 7,362.72 and 1,444.92 is: 2,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.64 : 7,362.72 = 1,444.92 : x
  2. Step 2: Convert to fraction form
    4,907.64/7,362.72 = 1,444.92/x
  3. Step 3: Cross multiply
    4,907.64x = 7,362.72 × 1,444.92
  4. Step 4: Simplify right side
    4,907.64x = 10,638,541.38
  5. Step 5: Solve for x
    x = 10,638,541.38/4,907.64
  6. Step 6: Final answer
    x = 2,167.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.