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Finding the Fourth Proportional to 6,510.60, 9,762.14 and 5,732.16

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Solution

The fourth proportional to 6,510.60, 9,762.14 and 5,732.16 is: 8,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.60 : 9,762.14 = 5,732.16 : x
  2. Step 2: Convert to fraction form
    6,510.60/9,762.14 = 5,732.16/x
  3. Step 3: Cross multiply
    6,510.60x = 9,762.14 × 5,732.16
  4. Step 4: Simplify right side
    6,510.60x = 55,958,119.76
  5. Step 5: Solve for x
    x = 55,958,119.76/6,510.60
  6. Step 6: Final answer
    x = 8,594.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.