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Finding the Fourth Proportional to 7,884.16, 10,880.16 and 4,527

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Solution

The fourth proportional to 7,884.16, 10,880.16 and 4,527 is: 6,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.16 : 10,880.16 = 4,527 : x
  2. Step 2: Convert to fraction form
    7,884.16/10,880.16 = 4,527/x
  3. Step 3: Cross multiply
    7,884.16x = 10,880.16 × 4,527
  4. Step 4: Simplify right side
    7,884.16x = 49,254,484.32
  5. Step 5: Solve for x
    x = 49,254,484.32/7,884.16
  6. Step 6: Final answer
    x = 6,247.27

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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.