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Finding the Fourth Proportional to 6,784.16, 9,358.32 and 4,132.16

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Solution

The fourth proportional to 6,784.16, 9,358.32 and 4,132.16 is: 5,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.16 : 9,358.32 = 4,132.16 : x
  2. Step 2: Convert to fraction form
    6,784.16/9,358.32 = 4,132.16/x
  3. Step 3: Cross multiply
    6,784.16x = 9,358.32 × 4,132.16
  4. Step 4: Simplify right side
    6,784.16x = 38,670,075.57
  5. Step 5: Solve for x
    x = 38,670,075.57/6,784.16
  6. Step 6: Final answer
    x = 5,700.05

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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.