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Finding the Fourth Proportional to 9,674.24, 13,349.22 and 5,482.48

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Solution

The fourth proportional to 9,674.24, 13,349.22 and 5,482.48 is: 7,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.24 : 13,349.22 = 5,482.48 : x
  2. Step 2: Convert to fraction form
    9,674.24/13,349.22 = 5,482.48/x
  3. Step 3: Cross multiply
    9,674.24x = 13,349.22 × 5,482.48
  4. Step 4: Simplify right side
    9,674.24x = 73,186,831.67
  5. Step 5: Solve for x
    x = 73,186,831.67/9,674.24
  6. Step 6: Final answer
    x = 7,565.12

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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.