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Finding the Fourth Proportional to 7,056.36, 9,737.70 and 4,072.08

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Solution

The fourth proportional to 7,056.36, 9,737.70 and 4,072.08 is: 5,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.36 : 9,737.70 = 4,072.08 : x
  2. Step 2: Convert to fraction form
    7,056.36/9,737.70 = 4,072.08/x
  3. Step 3: Cross multiply
    7,056.36x = 9,737.70 × 4,072.08
  4. Step 4: Simplify right side
    7,056.36x = 39,652,693.42
  5. Step 5: Solve for x
    x = 39,652,693.42/7,056.36
  6. Step 6: Final answer
    x = 5,619.43

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1.5x scale

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.