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Finding the Fourth Proportional to 11,407.51, 17,106.93 and 5,482.75

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Solution

The fourth proportional to 11,407.51, 17,106.93 and 5,482.75 is: 8,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.51 : 17,106.93 = 5,482.75 : x
  2. Step 2: Convert to fraction form
    11,407.51/17,106.93 = 5,482.75/x
  3. Step 3: Cross multiply
    11,407.51x = 17,106.93 × 5,482.75
  4. Step 4: Simplify right side
    11,407.51x = 93,793,020.46
  5. Step 5: Solve for x
    x = 93,793,020.46/11,407.51
  6. Step 6: Final answer
    x = 8,222.04

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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.