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Finding the Fourth Proportional to 9,064.74, 12,509.84 and 5,085.54

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Solution

The fourth proportional to 9,064.74, 12,509.84 and 5,085.54 is: 7,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.74 : 12,509.84 = 5,085.54 : x
  2. Step 2: Convert to fraction form
    9,064.74/12,509.84 = 5,085.54/x
  3. Step 3: Cross multiply
    9,064.74x = 12,509.84 × 5,085.54
  4. Step 4: Simplify right side
    9,064.74x = 63,619,266.29
  5. Step 5: Solve for x
    x = 63,619,266.29/9,064.74
  6. Step 6: Final answer
    x = 7,018.32

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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.