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Finding the Fourth Proportional to 15,798, 23,574.45 and 13,698.48

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Solution

The fourth proportional to 15,798, 23,574.45 and 13,698.48 is: 20,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,798 : 23,574.45 = 13,698.48 : x
  2. Step 2: Convert to fraction form
    15,798/23,574.45 = 13,698.48/x
  3. Step 3: Cross multiply
    15,798x = 23,574.45 × 13,698.48
  4. Step 4: Simplify right side
    15,798x = 322,934,131.84
  5. Step 5: Solve for x
    x = 322,934,131.84/15,798
  6. Step 6: Final answer
    x = 20,441.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.