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Finding the Fourth Proportional to 9,924, 13,706.64 and 6,606.24

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Solution

The fourth proportional to 9,924, 13,706.64 and 6,606.24 is: 9,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 13,706.64 = 6,606.24 : x
  2. Step 2: Convert to fraction form
    9,924/13,706.64 = 6,606.24/x
  3. Step 3: Cross multiply
    9,924x = 13,706.64 × 6,606.24
  4. Step 4: Simplify right side
    9,924x = 90,549,353.43
  5. Step 5: Solve for x
    x = 90,549,353.43/9,924
  6. Step 6: Final answer
    x = 9,124.28

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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.