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Finding the Fourth Proportional to 7,864.64, 10,853.40 and 4,328

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Solution

The fourth proportional to 7,864.64, 10,853.40 and 4,328 is: 5,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.64 : 10,853.40 = 4,328 : x
  2. Step 2: Convert to fraction form
    7,864.64/10,853.40 = 4,328/x
  3. Step 3: Cross multiply
    7,864.64x = 10,853.40 × 4,328
  4. Step 4: Simplify right side
    7,864.64x = 46,973,515.20
  5. Step 5: Solve for x
    x = 46,973,515.20/7,864.64
  6. Step 6: Final answer
    x = 5,972.75

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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.