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Finding the Fourth Proportional to 7,157.90, 9,867.56 and 5,026.93

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Solution

The fourth proportional to 7,157.90, 9,867.56 and 5,026.93 is: 6,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.90 : 9,867.56 = 5,026.93 : x
  2. Step 2: Convert to fraction form
    7,157.90/9,867.56 = 5,026.93/x
  3. Step 3: Cross multiply
    7,157.90x = 9,867.56 × 5,026.93
  4. Step 4: Simplify right side
    7,157.90x = 49,603,483.59
  5. Step 5: Solve for x
    x = 49,603,483.59/7,157.90
  6. Step 6: Final answer
    x = 6,929.89

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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.