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Finding the Fourth Proportional to 7,283, 10,923.57 and 2,352.13

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Solution

The fourth proportional to 7,283, 10,923.57 and 2,352.13 is: 3,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283 : 10,923.57 = 2,352.13 : x
  2. Step 2: Convert to fraction form
    7,283/10,923.57 = 2,352.13/x
  3. Step 3: Cross multiply
    7,283x = 10,923.57 × 2,352.13
  4. Step 4: Simplify right side
    7,283x = 25,693,602.09
  5. Step 5: Solve for x
    x = 25,693,602.09/7,283
  6. Step 6: Final answer
    x = 3,527.89

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.