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Finding the Fourth Proportional to 7,004.60, 9,665.94 and 4,352.24

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Solution

The fourth proportional to 7,004.60, 9,665.94 and 4,352.24 is: 6,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.60 : 9,665.94 = 4,352.24 : x
  2. Step 2: Convert to fraction form
    7,004.60/9,665.94 = 4,352.24/x
  3. Step 3: Cross multiply
    7,004.60x = 9,665.94 × 4,352.24
  4. Step 4: Simplify right side
    7,004.60x = 42,068,490.71
  5. Step 5: Solve for x
    x = 42,068,490.71/7,004.60
  6. Step 6: Final answer
    x = 6,005.84

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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.