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Finding the Fourth Proportional to 7,123.58, 9,814.44 and 4,968.06

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Solution

The fourth proportional to 7,123.58, 9,814.44 and 4,968.06 is: 6,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.58 : 9,814.44 = 4,968.06 : x
  2. Step 2: Convert to fraction form
    7,123.58/9,814.44 = 4,968.06/x
  3. Step 3: Cross multiply
    7,123.58x = 9,814.44 × 4,968.06
  4. Step 4: Simplify right side
    7,123.58x = 48,758,726.79
  5. Step 5: Solve for x
    x = 48,758,726.79/7,123.58
  6. Step 6: Final answer
    x = 6,844.70

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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.