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Finding the Fourth Proportional to 9,573, 13,210.50 and 5,324.07

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Solution

The fourth proportional to 9,573, 13,210.50 and 5,324.07 is: 7,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573 : 13,210.50 = 5,324.07 : x
  2. Step 2: Convert to fraction form
    9,573/13,210.50 = 5,324.07/x
  3. Step 3: Cross multiply
    9,573x = 13,210.50 × 5,324.07
  4. Step 4: Simplify right side
    9,573x = 70,333,626.74
  5. Step 5: Solve for x
    x = 70,333,626.74/9,573
  6. Step 6: Final answer
    x = 7,347.08

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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.