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Finding the Fourth Proportional to 7,894.61, 10,894.19 and 4,535.06

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Solution

The fourth proportional to 7,894.61, 10,894.19 and 4,535.06 is: 6,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.61 : 10,894.19 = 4,535.06 : x
  2. Step 2: Convert to fraction form
    7,894.61/10,894.19 = 4,535.06/x
  3. Step 3: Cross multiply
    7,894.61x = 10,894.19 × 4,535.06
  4. Step 4: Simplify right side
    7,894.61x = 49,405,728.16
  5. Step 5: Solve for x
    x = 49,405,728.16/7,894.61
  6. Step 6: Final answer
    x = 6,258.16

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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.