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Finding the Fourth Proportional to 8,720.77, 12,034.91 and 4,742.16

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Solution

The fourth proportional to 8,720.77, 12,034.91 and 4,742.16 is: 6,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.77 : 12,034.91 = 4,742.16 : x
  2. Step 2: Convert to fraction form
    8,720.77/12,034.91 = 4,742.16/x
  3. Step 3: Cross multiply
    8,720.77x = 12,034.91 × 4,742.16
  4. Step 4: Simplify right side
    8,720.77x = 57,071,468.81
  5. Step 5: Solve for x
    x = 57,071,468.81/8,720.77
  6. Step 6: Final answer
    x = 6,544.32

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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.