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Finding the Fourth Proportional to 4,666.50, 7,000.29 and 1,546.92

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Solution

The fourth proportional to 4,666.50, 7,000.29 and 1,546.92 is: 2,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.50 : 7,000.29 = 1,546.92 : x
  2. Step 2: Convert to fraction form
    4,666.50/7,000.29 = 1,546.92/x
  3. Step 3: Cross multiply
    4,666.50x = 7,000.29 × 1,546.92
  4. Step 4: Simplify right side
    4,666.50x = 10,828,888.61
  5. Step 5: Solve for x
    x = 10,828,888.61/4,666.50
  6. Step 6: Final answer
    x = 2,320.56

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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.