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Finding the Fourth Proportional to 7,760.60, 10,710.06 and 4,402.16

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Solution

The fourth proportional to 7,760.60, 10,710.06 and 4,402.16 is: 6,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.60 : 10,710.06 = 4,402.16 : x
  2. Step 2: Convert to fraction form
    7,760.60/10,710.06 = 4,402.16/x
  3. Step 3: Cross multiply
    7,760.60x = 10,710.06 × 4,402.16
  4. Step 4: Simplify right side
    7,760.60x = 47,147,397.73
  5. Step 5: Solve for x
    x = 47,147,397.73/7,760.60
  6. Step 6: Final answer
    x = 6,075.23

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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.