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Finding the Fourth Proportional to 17,386, 23,993.16 and 9,833.46

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Solution

The fourth proportional to 17,386, 23,993.16 and 9,833.46 is: 13,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386 : 23,993.16 = 9,833.46 : x
  2. Step 2: Convert to fraction form
    17,386/23,993.16 = 9,833.46/x
  3. Step 3: Cross multiply
    17,386x = 23,993.16 × 9,833.46
  4. Step 4: Simplify right side
    17,386x = 235,935,779.13
  5. Step 5: Solve for x
    x = 235,935,779.13/17,386
  6. Step 6: Final answer
    x = 13,570.45

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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.