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Finding the Fourth Proportional to 7,184.71, 9,913.75 and 4,351.60

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Solution

The fourth proportional to 7,184.71, 9,913.75 and 4,351.60 is: 6,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.71 : 9,913.75 = 4,351.60 : x
  2. Step 2: Convert to fraction form
    7,184.71/9,913.75 = 4,351.60/x
  3. Step 3: Cross multiply
    7,184.71x = 9,913.75 × 4,351.60
  4. Step 4: Simplify right side
    7,184.71x = 43,140,674.50
  5. Step 5: Solve for x
    x = 43,140,674.50/7,184.71
  6. Step 6: Final answer
    x = 6,004.51

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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.