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Finding the Fourth Proportional to 12,705.46, 19,059.46 and 4,384.38

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Solution

The fourth proportional to 12,705.46, 19,059.46 and 4,384.38 is: 6,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.46 : 19,059.46 = 4,384.38 : x
  2. Step 2: Convert to fraction form
    12,705.46/19,059.46 = 4,384.38/x
  3. Step 3: Cross multiply
    12,705.46x = 19,059.46 × 4,384.38
  4. Step 4: Simplify right side
    12,705.46x = 83,563,915.23
  5. Step 5: Solve for x
    x = 83,563,915.23/12,705.46
  6. Step 6: Final answer
    x = 6,577.01

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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.