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Finding the Fourth Proportional to 7,782.57, 10,740.16 and 4,758.18

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Solution

The fourth proportional to 7,782.57, 10,740.16 and 4,758.18 is: 6,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.57 : 10,740.16 = 4,758.18 : x
  2. Step 2: Convert to fraction form
    7,782.57/10,740.16 = 4,758.18/x
  3. Step 3: Cross multiply
    7,782.57x = 10,740.16 × 4,758.18
  4. Step 4: Simplify right side
    7,782.57x = 51,103,614.51
  5. Step 5: Solve for x
    x = 51,103,614.51/7,782.57
  6. Step 6: Final answer
    x = 6,566.42

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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.