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Finding the Fourth Proportional to 13,048.46, 18,007 and 7,080.17

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Solution

The fourth proportional to 13,048.46, 18,007 and 7,080.17 is: 9,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.46 : 18,007 = 7,080.17 : x
  2. Step 2: Convert to fraction form
    13,048.46/18,007 = 7,080.17/x
  3. Step 3: Cross multiply
    13,048.46x = 18,007 × 7,080.17
  4. Step 4: Simplify right side
    13,048.46x = 127,492,621.19
  5. Step 5: Solve for x
    x = 127,492,621.19/13,048.46
  6. Step 6: Final answer
    x = 9,770.70

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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.