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Finding the Fourth Proportional to 11,706.04, 17,565 and 6,780.16

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Solution

The fourth proportional to 11,706.04, 17,565 and 6,780.16 is: 10,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.04 : 17,565 = 6,780.16 : x
  2. Step 2: Convert to fraction form
    11,706.04/17,565 = 6,780.16/x
  3. Step 3: Cross multiply
    11,706.04x = 17,565 × 6,780.16
  4. Step 4: Simplify right side
    11,706.04x = 119,093,510.40
  5. Step 5: Solve for x
    x = 119,093,510.40/11,706.04
  6. Step 6: Final answer
    x = 10,173.68

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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.