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Finding the Fourth Proportional to 10,352.84, 14,303.62 and 7,223

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Solution

The fourth proportional to 10,352.84, 14,303.62 and 7,223 is: 9,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.84 : 14,303.62 = 7,223 : x
  2. Step 2: Convert to fraction form
    10,352.84/14,303.62 = 7,223/x
  3. Step 3: Cross multiply
    10,352.84x = 14,303.62 × 7,223
  4. Step 4: Simplify right side
    10,352.84x = 103,315,047.26
  5. Step 5: Solve for x
    x = 103,315,047.26/10,352.84
  6. Step 6: Final answer
    x = 9,979.39

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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.