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Finding the Fourth Proportional to 30,644.97, 45,970.10 and 8,458.35

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Solution

The fourth proportional to 30,644.97, 45,970.10 and 8,458.35 is: 12,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.97 : 45,970.10 = 8,458.35 : x
  2. Step 2: Convert to fraction form
    30,644.97/45,970.10 = 8,458.35/x
  3. Step 3: Cross multiply
    30,644.97x = 45,970.10 × 8,458.35
  4. Step 4: Simplify right side
    30,644.97x = 388,831,153.04
  5. Step 5: Solve for x
    x = 388,831,153.04/30,644.97
  6. Step 6: Final answer
    x = 12,688.25

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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.