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Finding the Fourth Proportional to 9,243.40, 12,755.90 and 6,595.40

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Solution

The fourth proportional to 9,243.40, 12,755.90 and 6,595.40 is: 9,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.40 : 12,755.90 = 6,595.40 : x
  2. Step 2: Convert to fraction form
    9,243.40/12,755.90 = 6,595.40/x
  3. Step 3: Cross multiply
    9,243.40x = 12,755.90 × 6,595.40
  4. Step 4: Simplify right side
    9,243.40x = 84,130,262.86
  5. Step 5: Solve for x
    x = 84,130,262.86/9,243.40
  6. Step 6: Final answer
    x = 9,101.66

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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.