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Finding the Fourth Proportional to 5,070.42, 7,605.54 and 1,607.67

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Solution

The fourth proportional to 5,070.42, 7,605.54 and 1,607.67 is: 2,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.42 : 7,605.54 = 1,607.67 : x
  2. Step 2: Convert to fraction form
    5,070.42/7,605.54 = 1,607.67/x
  3. Step 3: Cross multiply
    5,070.42x = 7,605.54 × 1,607.67
  4. Step 4: Simplify right side
    5,070.42x = 12,227,198.49
  5. Step 5: Solve for x
    x = 12,227,198.49/5,070.42
  6. Step 6: Final answer
    x = 2,411.48

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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.