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Finding the Fourth Proportional to 7,102.16, 9,797.88 and 4,712.72

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Solution

The fourth proportional to 7,102.16, 9,797.88 and 4,712.72 is: 6,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.16 : 9,797.88 = 4,712.72 : x
  2. Step 2: Convert to fraction form
    7,102.16/9,797.88 = 4,712.72/x
  3. Step 3: Cross multiply
    7,102.16x = 9,797.88 × 4,712.72
  4. Step 4: Simplify right side
    7,102.16x = 46,174,665.03
  5. Step 5: Solve for x
    x = 46,174,665.03/7,102.16
  6. Step 6: Final answer
    x = 6,501.50

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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.