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Finding the Fourth Proportional to 9,934.32, 13,710 and 6,571.32

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Solution

The fourth proportional to 9,934.32, 13,710 and 6,571.32 is: 9,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.32 : 13,710 = 6,571.32 : x
  2. Step 2: Convert to fraction form
    9,934.32/13,710 = 6,571.32/x
  3. Step 3: Cross multiply
    9,934.32x = 13,710 × 6,571.32
  4. Step 4: Simplify right side
    9,934.32x = 90,092,797.20
  5. Step 5: Solve for x
    x = 90,092,797.20/9,934.32
  6. Step 6: Final answer
    x = 9,068.84

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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.