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Finding the Fourth Proportional to 9,595.32, 13,223.82 and 6,938.11

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Solution

The fourth proportional to 9,595.32, 13,223.82 and 6,938.11 is: 9,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.32 : 13,223.82 = 6,938.11 : x
  2. Step 2: Convert to fraction form
    9,595.32/13,223.82 = 6,938.11/x
  3. Step 3: Cross multiply
    9,595.32x = 13,223.82 × 6,938.11
  4. Step 4: Simplify right side
    9,595.32x = 91,748,317.78
  5. Step 5: Solve for x
    x = 91,748,317.78/9,595.32
  6. Step 6: Final answer
    x = 9,561.78

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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.