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Finding the Fourth Proportional to 30,946.40, 46,412.39 and 9,888.32

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Solution

The fourth proportional to 30,946.40, 46,412.39 and 9,888.32 is: 14,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.40 : 46,412.39 = 9,888.32 : x
  2. Step 2: Convert to fraction form
    30,946.40/46,412.39 = 9,888.32/x
  3. Step 3: Cross multiply
    30,946.40x = 46,412.39 × 9,888.32
  4. Step 4: Simplify right side
    30,946.40x = 458,940,514.84
  5. Step 5: Solve for x
    x = 458,940,514.84/30,946.40
  6. Step 6: Final answer
    x = 14,830.17

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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.