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Finding the Fourth Proportional to 9,929.76, 14,894.63 and 2,534.22

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Solution

The fourth proportional to 9,929.76, 14,894.63 and 2,534.22 is: 3,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.76 : 14,894.63 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    9,929.76/14,894.63 = 2,534.22/x
  3. Step 3: Cross multiply
    9,929.76x = 14,894.63 × 2,534.22
  4. Step 4: Simplify right side
    9,929.76x = 37,746,312.81
  5. Step 5: Solve for x
    x = 37,746,312.81/9,929.76
  6. Step 6: Final answer
    x = 3,801.33

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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.