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Finding the Fourth Proportional to 9,505.80, 14,258.70 and 2,580.30

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Solution

The fourth proportional to 9,505.80, 14,258.70 and 2,580.30 is: 3,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.80 : 14,258.70 = 2,580.30 : x
  2. Step 2: Convert to fraction form
    9,505.80/14,258.70 = 2,580.30/x
  3. Step 3: Cross multiply
    9,505.80x = 14,258.70 × 2,580.30
  4. Step 4: Simplify right side
    9,505.80x = 36,791,723.61
  5. Step 5: Solve for x
    x = 36,791,723.61/9,505.80
  6. Step 6: Final answer
    x = 3,870.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.