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Finding the Fourth Proportional to 9,143.94, 13,711.16 and 4,464.16

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Solution

The fourth proportional to 9,143.94, 13,711.16 and 4,464.16 is: 6,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.94 : 13,711.16 = 4,464.16 : x
  2. Step 2: Convert to fraction form
    9,143.94/13,711.16 = 4,464.16/x
  3. Step 3: Cross multiply
    9,143.94x = 13,711.16 × 4,464.16
  4. Step 4: Simplify right side
    9,143.94x = 61,208,812.03
  5. Step 5: Solve for x
    x = 61,208,812.03/9,143.94
  6. Step 6: Final answer
    x = 6,693.92

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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.