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Finding the Fourth Proportional to 7,895.49, 10,894.82 and 5,023.23

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Solution

The fourth proportional to 7,895.49, 10,894.82 and 5,023.23 is: 6,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.49 : 10,894.82 = 5,023.23 : x
  2. Step 2: Convert to fraction form
    7,895.49/10,894.82 = 5,023.23/x
  3. Step 3: Cross multiply
    7,895.49x = 10,894.82 × 5,023.23
  4. Step 4: Simplify right side
    7,895.49x = 54,727,161.55
  5. Step 5: Solve for x
    x = 54,727,161.55/7,895.49
  6. Step 6: Final answer
    x = 6,931.45

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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.