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Finding the Fourth Proportional to 11,574.91, 15,973.31 and 6,470.41

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Solution

The fourth proportional to 11,574.91, 15,973.31 and 6,470.41 is: 8,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.91 : 15,973.31 = 6,470.41 : x
  2. Step 2: Convert to fraction form
    11,574.91/15,973.31 = 6,470.41/x
  3. Step 3: Cross multiply
    11,574.91x = 15,973.31 × 6,470.41
  4. Step 4: Simplify right side
    11,574.91x = 103,353,864.76
  5. Step 5: Solve for x
    x = 103,353,864.76/11,574.91
  6. Step 6: Final answer
    x = 8,929.13

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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.