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Finding the Fourth Proportional to 5,975.74, 8,911 and 5,560.21

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Solution

The fourth proportional to 5,975.74, 8,911 and 5,560.21 is: 8,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.74 : 8,911 = 5,560.21 : x
  2. Step 2: Convert to fraction form
    5,975.74/8,911 = 5,560.21/x
  3. Step 3: Cross multiply
    5,975.74x = 8,911 × 5,560.21
  4. Step 4: Simplify right side
    5,975.74x = 49,547,031.31
  5. Step 5: Solve for x
    x = 49,547,031.31/5,975.74
  6. Step 6: Final answer
    x = 8,291.36

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.