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Finding the Fourth Proportional to 7,894.86, 10,894.74 and 4,358.04

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Solution

The fourth proportional to 7,894.86, 10,894.74 and 4,358.04 is: 6,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.86 : 10,894.74 = 4,358.04 : x
  2. Step 2: Convert to fraction form
    7,894.86/10,894.74 = 4,358.04/x
  3. Step 3: Cross multiply
    7,894.86x = 10,894.74 × 4,358.04
  4. Step 4: Simplify right side
    7,894.86x = 47,479,712.71
  5. Step 5: Solve for x
    x = 47,479,712.71/7,894.86
  6. Step 6: Final answer
    x = 6,014.00

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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.