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Finding the Fourth Proportional to 10,323, 14,250.09 and 6,970.35

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Solution

The fourth proportional to 10,323, 14,250.09 and 6,970.35 is: 9,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 14,250.09 = 6,970.35 : x
  2. Step 2: Convert to fraction form
    10,323/14,250.09 = 6,970.35/x
  3. Step 3: Cross multiply
    10,323x = 14,250.09 × 6,970.35
  4. Step 4: Simplify right side
    10,323x = 99,328,114.83
  5. Step 5: Solve for x
    x = 99,328,114.83/10,323
  6. Step 6: Final answer
    x = 9,622.02

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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.