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Finding the Fourth Proportional to 9,707.31, 13,398.44 and 9,050.67

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Solution

The fourth proportional to 9,707.31, 13,398.44 and 9,050.67 is: 12,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.31 : 13,398.44 = 9,050.67 : x
  2. Step 2: Convert to fraction form
    9,707.31/13,398.44 = 9,050.67/x
  3. Step 3: Cross multiply
    9,707.31x = 13,398.44 × 9,050.67
  4. Step 4: Simplify right side
    9,707.31x = 121,264,813.70
  5. Step 5: Solve for x
    x = 121,264,813.70/9,707.31
  6. Step 6: Final answer
    x = 12,492.11

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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.