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Finding the Fourth Proportional to 9,575.60, 14,270.64 and 9,077.37

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Solution

The fourth proportional to 9,575.60, 14,270.64 and 9,077.37 is: 13,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.60 : 14,270.64 = 9,077.37 : x
  2. Step 2: Convert to fraction form
    9,575.60/14,270.64 = 9,077.37/x
  3. Step 3: Cross multiply
    9,575.60x = 14,270.64 × 9,077.37
  4. Step 4: Simplify right side
    9,575.60x = 129,539,982.93
  5. Step 5: Solve for x
    x = 129,539,982.93/9,575.60
  6. Step 6: Final answer
    x = 13,528.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.