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Finding the Fourth Proportional to 9,740.76, 14,594.64 and 7,674.18

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Solution

The fourth proportional to 9,740.76, 14,594.64 and 7,674.18 is: 11,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.76 : 14,594.64 = 7,674.18 : x
  2. Step 2: Convert to fraction form
    9,740.76/14,594.64 = 7,674.18/x
  3. Step 3: Cross multiply
    9,740.76x = 14,594.64 × 7,674.18
  4. Step 4: Simplify right side
    9,740.76x = 112,001,894.40
  5. Step 5: Solve for x
    x = 112,001,894.40/9,740.76
  6. Step 6: Final answer
    x = 11,498.27

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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.