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Finding the Fourth Proportional to 5,071.74, 7,607.58 and 1,561.74

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Solution

The fourth proportional to 5,071.74, 7,607.58 and 1,561.74 is: 2,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.74 : 7,607.58 = 1,561.74 : x
  2. Step 2: Convert to fraction form
    5,071.74/7,607.58 = 1,561.74/x
  3. Step 3: Cross multiply
    5,071.74x = 7,607.58 × 1,561.74
  4. Step 4: Simplify right side
    5,071.74x = 11,881,061.99
  5. Step 5: Solve for x
    x = 11,881,061.99/5,071.74
  6. Step 6: Final answer
    x = 2,342.60

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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.