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Finding the Fourth Proportional to 14,146.64, 19,523 and 8,482.32

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Solution

The fourth proportional to 14,146.64, 19,523 and 8,482.32 is: 11,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.64 : 19,523 = 8,482.32 : x
  2. Step 2: Convert to fraction form
    14,146.64/19,523 = 8,482.32/x
  3. Step 3: Cross multiply
    14,146.64x = 19,523 × 8,482.32
  4. Step 4: Simplify right side
    14,146.64x = 165,600,333.36
  5. Step 5: Solve for x
    x = 165,600,333.36/14,146.64
  6. Step 6: Final answer
    x = 11,705.98

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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.