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Finding the Fourth Proportional to 9,705.66, 13,376.04 and 7,048.46

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Solution

The fourth proportional to 9,705.66, 13,376.04 and 7,048.46 is: 9,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.66 : 13,376.04 = 7,048.46 : x
  2. Step 2: Convert to fraction form
    9,705.66/13,376.04 = 7,048.46/x
  3. Step 3: Cross multiply
    9,705.66x = 13,376.04 × 7,048.46
  4. Step 4: Simplify right side
    9,705.66x = 94,280,416.02
  5. Step 5: Solve for x
    x = 94,280,416.02/9,705.66
  6. Step 6: Final answer
    x = 9,713.96

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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.