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Finding the Fourth Proportional to 30,836.74, 46,256.40 and 9,776.32

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Solution

The fourth proportional to 30,836.74, 46,256.40 and 9,776.32 is: 14,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.74 : 46,256.40 = 9,776.32 : x
  2. Step 2: Convert to fraction form
    30,836.74/46,256.40 = 9,776.32/x
  3. Step 3: Cross multiply
    30,836.74x = 46,256.40 × 9,776.32
  4. Step 4: Simplify right side
    30,836.74x = 452,217,368.45
  5. Step 5: Solve for x
    x = 452,217,368.45/30,836.74
  6. Step 6: Final answer
    x = 14,664.89

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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.