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Finding the Fourth Proportional to 9,616.58, 14,386.94 and 7,283.33

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Solution

The fourth proportional to 9,616.58, 14,386.94 and 7,283.33 is: 10,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.58 : 14,386.94 = 7,283.33 : x
  2. Step 2: Convert to fraction form
    9,616.58/14,386.94 = 7,283.33/x
  3. Step 3: Cross multiply
    9,616.58x = 14,386.94 × 7,283.33
  4. Step 4: Simplify right side
    9,616.58x = 104,784,831.71
  5. Step 5: Solve for x
    x = 104,784,831.71/9,616.58
  6. Step 6: Final answer
    x = 10,896.27

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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.