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Finding the Fourth Proportional to 9,969.10, 14,929.35 and 9,531.70

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Solution

The fourth proportional to 9,969.10, 14,929.35 and 9,531.70 is: 14,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.10 : 14,929.35 = 9,531.70 : x
  2. Step 2: Convert to fraction form
    9,969.10/14,929.35 = 9,531.70/x
  3. Step 3: Cross multiply
    9,969.10x = 14,929.35 × 9,531.70
  4. Step 4: Simplify right side
    9,969.10x = 142,302,085.40
  5. Step 5: Solve for x
    x = 142,302,085.40/9,969.10
  6. Step 6: Final answer
    x = 14,274.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.