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Finding the Fourth Proportional to 7,114.90, 9,808.68 and 4,460.53

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Solution

The fourth proportional to 7,114.90, 9,808.68 and 4,460.53 is: 6,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.90 : 9,808.68 = 4,460.53 : x
  2. Step 2: Convert to fraction form
    7,114.90/9,808.68 = 4,460.53/x
  3. Step 3: Cross multiply
    7,114.90x = 9,808.68 × 4,460.53
  4. Step 4: Simplify right side
    7,114.90x = 43,751,911.40
  5. Step 5: Solve for x
    x = 43,751,911.40/7,114.90
  6. Step 6: Final answer
    x = 6,149.34

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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.