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Finding the Fourth Proportional to 17,409.42, 26,114.08 and 6,316.08

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Solution

The fourth proportional to 17,409.42, 26,114.08 and 6,316.08 is: 9,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.42 : 26,114.08 = 6,316.08 : x
  2. Step 2: Convert to fraction form
    17,409.42/26,114.08 = 6,316.08/x
  3. Step 3: Cross multiply
    17,409.42x = 26,114.08 × 6,316.08
  4. Step 4: Simplify right side
    17,409.42x = 164,938,618.41
  5. Step 5: Solve for x
    x = 164,938,618.41/17,409.42
  6. Step 6: Final answer
    x = 9,474.10

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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.