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Finding the Fourth Proportional to 9,505.65, 14,258.48 and 2,580.15

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Solution

The fourth proportional to 9,505.65, 14,258.48 and 2,580.15 is: 3,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.65 : 14,258.48 = 2,580.15 : x
  2. Step 2: Convert to fraction form
    9,505.65/14,258.48 = 2,580.15/x
  3. Step 3: Cross multiply
    9,505.65x = 14,258.48 × 2,580.15
  4. Step 4: Simplify right side
    9,505.65x = 36,789,017.17
  5. Step 5: Solve for x
    x = 36,789,017.17/9,505.65
  6. Step 6: Final answer
    x = 3,870.23

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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.