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Finding the Fourth Proportional to 15,643.32, 21,585.24 and 9,968.10

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Solution

The fourth proportional to 15,643.32, 21,585.24 and 9,968.10 is: 13,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.32 : 21,585.24 = 9,968.10 : x
  2. Step 2: Convert to fraction form
    15,643.32/21,585.24 = 9,968.10/x
  3. Step 3: Cross multiply
    15,643.32x = 21,585.24 × 9,968.10
  4. Step 4: Simplify right side
    15,643.32x = 215,163,830.84
  5. Step 5: Solve for x
    x = 215,163,830.84/15,643.32
  6. Step 6: Final answer
    x = 13,754.36

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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.