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Finding the Fourth Proportional to 5,309.65, 7,332.63 and 4,374.71

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Solution

The fourth proportional to 5,309.65, 7,332.63 and 4,374.71 is: 6,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.65 : 7,332.63 = 4,374.71 : x
  2. Step 2: Convert to fraction form
    5,309.65/7,332.63 = 4,374.71/x
  3. Step 3: Cross multiply
    5,309.65x = 7,332.63 × 4,374.71
  4. Step 4: Simplify right side
    5,309.65x = 32,078,104.22
  5. Step 5: Solve for x
    x = 32,078,104.22/5,309.65
  6. Step 6: Final answer
    x = 6,041.47

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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.