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Finding the Fourth Proportional to 14,267, 19,697.12 and 9,307.64

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Solution

The fourth proportional to 14,267, 19,697.12 and 9,307.64 is: 12,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267 : 19,697.12 = 9,307.64 : x
  2. Step 2: Convert to fraction form
    14,267/19,697.12 = 9,307.64/x
  3. Step 3: Cross multiply
    14,267x = 19,697.12 × 9,307.64
  4. Step 4: Simplify right side
    14,267x = 183,333,702.00
  5. Step 5: Solve for x
    x = 183,333,702.00/14,267
  6. Step 6: Final answer
    x = 12,850.19

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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.