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Finding the Fourth Proportional to 9,574.56, 13,215 and 6,042.56

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Solution

The fourth proportional to 9,574.56, 13,215 and 6,042.56 is: 8,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.56 : 13,215 = 6,042.56 : x
  2. Step 2: Convert to fraction form
    9,574.56/13,215 = 6,042.56/x
  3. Step 3: Cross multiply
    9,574.56x = 13,215 × 6,042.56
  4. Step 4: Simplify right side
    9,574.56x = 79,852,430.40
  5. Step 5: Solve for x
    x = 79,852,430.40/9,574.56
  6. Step 6: Final answer
    x = 8,340.06

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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.