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Finding the Fourth Proportional to 7,914.23, 10,923.80 and 4,928.30

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Solution

The fourth proportional to 7,914.23, 10,923.80 and 4,928.30 is: 6,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.23 : 10,923.80 = 4,928.30 : x
  2. Step 2: Convert to fraction form
    7,914.23/10,923.80 = 4,928.30/x
  3. Step 3: Cross multiply
    7,914.23x = 10,923.80 × 4,928.30
  4. Step 4: Simplify right side
    7,914.23x = 53,835,738.90
  5. Step 5: Solve for x
    x = 53,835,738.90/7,914.23
  6. Step 6: Final answer
    x = 6,802.40

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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.