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Finding the Fourth Proportional to 12,357.24, 17,048.76 and 7,048.24

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Solution

The fourth proportional to 12,357.24, 17,048.76 and 7,048.24 is: 9,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.24 : 17,048.76 = 7,048.24 : x
  2. Step 2: Convert to fraction form
    12,357.24/17,048.76 = 7,048.24/x
  3. Step 3: Cross multiply
    12,357.24x = 17,048.76 × 7,048.24
  4. Step 4: Simplify right side
    12,357.24x = 120,163,752.18
  5. Step 5: Solve for x
    x = 120,163,752.18/12,357.24
  6. Step 6: Final answer
    x = 9,724.16

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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.