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Finding the Fourth Proportional to 7,460.71, 10,295.77 and 4,103.57

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Solution

The fourth proportional to 7,460.71, 10,295.77 and 4,103.57 is: 5,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.71 : 10,295.77 = 4,103.57 : x
  2. Step 2: Convert to fraction form
    7,460.71/10,295.77 = 4,103.57/x
  3. Step 3: Cross multiply
    7,460.71x = 10,295.77 × 4,103.57
  4. Step 4: Simplify right side
    7,460.71x = 42,249,392.38
  5. Step 5: Solve for x
    x = 42,249,392.38/7,460.71
  6. Step 6: Final answer
    x = 5,662.92

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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.