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Finding the Fourth Proportional to 9,643.70, 14,466.04 and 3,070.40

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Solution

The fourth proportional to 9,643.70, 14,466.04 and 3,070.40 is: 4,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.70 : 14,466.04 = 3,070.40 : x
  2. Step 2: Convert to fraction form
    9,643.70/14,466.04 = 3,070.40/x
  3. Step 3: Cross multiply
    9,643.70x = 14,466.04 × 3,070.40
  4. Step 4: Simplify right side
    9,643.70x = 44,416,518.25
  5. Step 5: Solve for x
    x = 44,416,518.25/9,643.70
  6. Step 6: Final answer
    x = 4,605.75

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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.