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Finding the Fourth Proportional to 7,952.76, 10,975.14 and 4,416

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Solution

The fourth proportional to 7,952.76, 10,975.14 and 4,416 is: 6,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.76 : 10,975.14 = 4,416 : x
  2. Step 2: Convert to fraction form
    7,952.76/10,975.14 = 4,416/x
  3. Step 3: Cross multiply
    7,952.76x = 10,975.14 × 4,416
  4. Step 4: Simplify right side
    7,952.76x = 48,466,218.24
  5. Step 5: Solve for x
    x = 48,466,218.24/7,952.76
  6. Step 6: Final answer
    x = 6,094.26

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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.