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Finding the Fourth Proportional to 7,894.66, 10,894.26 and 4,535.12

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Solution

The fourth proportional to 7,894.66, 10,894.26 and 4,535.12 is: 6,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.66 : 10,894.26 = 4,535.12 : x
  2. Step 2: Convert to fraction form
    7,894.66/10,894.26 = 4,535.12/x
  3. Step 3: Cross multiply
    7,894.66x = 10,894.26 × 4,535.12
  4. Step 4: Simplify right side
    7,894.66x = 49,406,776.41
  5. Step 5: Solve for x
    x = 49,406,776.41/7,894.66
  6. Step 6: Final answer
    x = 6,258.25

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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.