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Finding the Fourth Proportional to 9,770.15, 13,490.51 and 9,023.79

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Solution

The fourth proportional to 9,770.15, 13,490.51 and 9,023.79 is: 12,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.15 : 13,490.51 = 9,023.79 : x
  2. Step 2: Convert to fraction form
    9,770.15/13,490.51 = 9,023.79/x
  3. Step 3: Cross multiply
    9,770.15x = 13,490.51 × 9,023.79
  4. Step 4: Simplify right side
    9,770.15x = 121,735,484.11
  5. Step 5: Solve for x
    x = 121,735,484.11/9,770.15
  6. Step 6: Final answer
    x = 12,459.95

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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.