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Finding the Fourth Proportional to 4,972.23, 7,458.35 and 1,509.48

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Solution

The fourth proportional to 4,972.23, 7,458.35 and 1,509.48 is: 2,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.23 : 7,458.35 = 1,509.48 : x
  2. Step 2: Convert to fraction form
    4,972.23/7,458.35 = 1,509.48/x
  3. Step 3: Cross multiply
    4,972.23x = 7,458.35 × 1,509.48
  4. Step 4: Simplify right side
    4,972.23x = 11,258,222.61
  5. Step 5: Solve for x
    x = 11,258,222.61/4,972.23
  6. Step 6: Final answer
    x = 2,264.22

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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.