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Finding the Fourth Proportional to 6,510.54, 9,767.26 and 3,587.34

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Solution

The fourth proportional to 6,510.54, 9,767.26 and 3,587.34 is: 5,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.54 : 9,767.26 = 3,587.34 : x
  2. Step 2: Convert to fraction form
    6,510.54/9,767.26 = 3,587.34/x
  3. Step 3: Cross multiply
    6,510.54x = 9,767.26 × 3,587.34
  4. Step 4: Simplify right side
    6,510.54x = 35,038,482.49
  5. Step 5: Solve for x
    x = 35,038,482.49/6,510.54
  6. Step 6: Final answer
    x = 5,381.81

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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.