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Finding the Fourth Proportional to 4,743.07, 7,078.65 and 4,632.50

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Solution

The fourth proportional to 4,743.07, 7,078.65 and 4,632.50 is: 6,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.07 : 7,078.65 = 4,632.50 : x
  2. Step 2: Convert to fraction form
    4,743.07/7,078.65 = 4,632.50/x
  3. Step 3: Cross multiply
    4,743.07x = 7,078.65 × 4,632.50
  4. Step 4: Simplify right side
    4,743.07x = 32,791,846.45
  5. Step 5: Solve for x
    x = 32,791,846.45/4,743.07
  6. Step 6: Final answer
    x = 6,913.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.