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Finding the Fourth Proportional to 4,666.54, 6,999.72 and 1,156.54

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Solution

The fourth proportional to 4,666.54, 6,999.72 and 1,156.54 is: 1,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.54 : 6,999.72 = 1,156.54 : x
  2. Step 2: Convert to fraction form
    4,666.54/6,999.72 = 1,156.54/x
  3. Step 3: Cross multiply
    4,666.54x = 6,999.72 × 1,156.54
  4. Step 4: Simplify right side
    4,666.54x = 8,095,421.17
  5. Step 5: Solve for x
    x = 8,095,421.17/4,666.54
  6. Step 6: Final answer
    x = 1,734.78

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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.