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Finding the Fourth Proportional to 12,409.76, 17,128.42 and 7,107.64

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Solution

The fourth proportional to 12,409.76, 17,128.42 and 7,107.64 is: 9,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.76 : 17,128.42 = 7,107.64 : x
  2. Step 2: Convert to fraction form
    12,409.76/17,128.42 = 7,107.64/x
  3. Step 3: Cross multiply
    12,409.76x = 17,128.42 × 7,107.64
  4. Step 4: Simplify right side
    12,409.76x = 121,742,643.13
  5. Step 5: Solve for x
    x = 121,742,643.13/12,409.76
  6. Step 6: Final answer
    x = 9,810.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.