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Finding the Fourth Proportional to 9,062.84, 12,509.29 and 5,477.20

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Solution

The fourth proportional to 9,062.84, 12,509.29 and 5,477.20 is: 7,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.84 : 12,509.29 = 5,477.20 : x
  2. Step 2: Convert to fraction form
    9,062.84/12,509.29 = 5,477.20/x
  3. Step 3: Cross multiply
    9,062.84x = 12,509.29 × 5,477.20
  4. Step 4: Simplify right side
    9,062.84x = 68,515,820.64
  5. Step 5: Solve for x
    x = 68,515,820.64/9,062.84
  6. Step 6: Final answer
    x = 7,560.08

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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.