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Finding the Fourth Proportional to 10,525.71, 14,523.74 and 6,048.51

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Solution

The fourth proportional to 10,525.71, 14,523.74 and 6,048.51 is: 8,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.71 : 14,523.74 = 6,048.51 : x
  2. Step 2: Convert to fraction form
    10,525.71/14,523.74 = 6,048.51/x
  3. Step 3: Cross multiply
    10,525.71x = 14,523.74 × 6,048.51
  4. Step 4: Simplify right side
    10,525.71x = 87,846,986.63
  5. Step 5: Solve for x
    x = 87,846,986.63/10,525.71
  6. Step 6: Final answer
    x = 8,345.94

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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.