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Finding the Fourth Proportional to 9,580.64, 14,370.96 and 3,007

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Solution

The fourth proportional to 9,580.64, 14,370.96 and 3,007 is: 4,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.64 : 14,370.96 = 3,007 : x
  2. Step 2: Convert to fraction form
    9,580.64/14,370.96 = 3,007/x
  3. Step 3: Cross multiply
    9,580.64x = 14,370.96 × 3,007
  4. Step 4: Simplify right side
    9,580.64x = 43,213,476.72
  5. Step 5: Solve for x
    x = 43,213,476.72/9,580.64
  6. Step 6: Final answer
    x = 4,510.50

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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.