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Finding the Fourth Proportional to 9,232, 12,740.30 and 5,040.26

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Solution

The fourth proportional to 9,232, 12,740.30 and 5,040.26 is: 6,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232 : 12,740.30 = 5,040.26 : x
  2. Step 2: Convert to fraction form
    9,232/12,740.30 = 5,040.26/x
  3. Step 3: Cross multiply
    9,232x = 12,740.30 × 5,040.26
  4. Step 4: Simplify right side
    9,232x = 64,214,424.48
  5. Step 5: Solve for x
    x = 64,214,424.48/9,232
  6. Step 6: Final answer
    x = 6,955.64

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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.