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Finding the Fourth Proportional to 11,710.53, 17,565.71 and 4,780.17

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Solution

The fourth proportional to 11,710.53, 17,565.71 and 4,780.17 is: 7,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.53 : 17,565.71 = 4,780.17 : x
  2. Step 2: Convert to fraction form
    11,710.53/17,565.71 = 4,780.17/x
  3. Step 3: Cross multiply
    11,710.53x = 17,565.71 × 4,780.17
  4. Step 4: Simplify right side
    11,710.53x = 83,967,056.07
  5. Step 5: Solve for x
    x = 83,967,056.07/11,710.53
  6. Step 6: Final answer
    x = 7,170.22

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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.