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Finding the Fourth Proportional to 9,894.51, 14,841.68 and 4,346.46

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Solution

The fourth proportional to 9,894.51, 14,841.68 and 4,346.46 is: 6,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.51 : 14,841.68 = 4,346.46 : x
  2. Step 2: Convert to fraction form
    9,894.51/14,841.68 = 4,346.46/x
  3. Step 3: Cross multiply
    9,894.51x = 14,841.68 × 4,346.46
  4. Step 4: Simplify right side
    9,894.51x = 64,508,746.72
  5. Step 5: Solve for x
    x = 64,508,746.72/9,894.51
  6. Step 6: Final answer
    x = 6,519.65

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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.