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Finding the Fourth Proportional to 7,592.75, 10,478.00 and 4,406.66

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Solution

The fourth proportional to 7,592.75, 10,478.00 and 4,406.66 is: 6,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.75 : 10,478.00 = 4,406.66 : x
  2. Step 2: Convert to fraction form
    7,592.75/10,478.00 = 4,406.66/x
  3. Step 3: Cross multiply
    7,592.75x = 10,478.00 × 4,406.66
  4. Step 4: Simplify right side
    7,592.75x = 46,173,004.17
  5. Step 5: Solve for x
    x = 46,173,004.17/7,592.75
  6. Step 6: Final answer
    x = 6,081.20

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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.