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Finding the Fourth Proportional to 5,123.70, 7,071.12 and 2,970.99

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Solution

The fourth proportional to 5,123.70, 7,071.12 and 2,970.99 is: 4,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.70 : 7,071.12 = 2,970.99 : x
  2. Step 2: Convert to fraction form
    5,123.70/7,071.12 = 2,970.99/x
  3. Step 3: Cross multiply
    5,123.70x = 7,071.12 × 2,970.99
  4. Step 4: Simplify right side
    5,123.70x = 21,008,226.81
  5. Step 5: Solve for x
    x = 21,008,226.81/5,123.70
  6. Step 6: Final answer
    x = 4,100.21

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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.