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Finding the Fourth Proportional to 9,712.32, 14,559.84 and 3,554.88

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Solution

The fourth proportional to 9,712.32, 14,559.84 and 3,554.88 is: 5,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.32 : 14,559.84 = 3,554.88 : x
  2. Step 2: Convert to fraction form
    9,712.32/14,559.84 = 3,554.88/x
  3. Step 3: Cross multiply
    9,712.32x = 14,559.84 × 3,554.88
  4. Step 4: Simplify right side
    9,712.32x = 51,758,484.02
  5. Step 5: Solve for x
    x = 51,758,484.02/9,712.32
  6. Step 6: Final answer
    x = 5,329.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.