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Finding the Fourth Proportional to 7,083, 9,777.18 and 5,319.70

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Solution

The fourth proportional to 7,083, 9,777.18 and 5,319.70 is: 7,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 9,777.18 = 5,319.70 : x
  2. Step 2: Convert to fraction form
    7,083/9,777.18 = 5,319.70/x
  3. Step 3: Cross multiply
    7,083x = 9,777.18 × 5,319.70
  4. Step 4: Simplify right side
    7,083x = 52,011,664.45
  5. Step 5: Solve for x
    x = 52,011,664.45/7,083
  6. Step 6: Final answer
    x = 7,343.17

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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.