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Finding the Fourth Proportional to 7,237.36, 9,978.28 and 5,742.71

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Solution

The fourth proportional to 7,237.36, 9,978.28 and 5,742.71 is: 7,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.36 : 9,978.28 = 5,742.71 : x
  2. Step 2: Convert to fraction form
    7,237.36/9,978.28 = 5,742.71/x
  3. Step 3: Cross multiply
    7,237.36x = 9,978.28 × 5,742.71
  4. Step 4: Simplify right side
    7,237.36x = 57,302,368.34
  5. Step 5: Solve for x
    x = 57,302,368.34/7,237.36
  6. Step 6: Final answer
    x = 7,917.58

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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.