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Finding the Fourth Proportional to 10,210.04, 15,313.98 and 3,284

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Solution

The fourth proportional to 10,210.04, 15,313.98 and 3,284 is: 4,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.04 : 15,313.98 = 3,284 : x
  2. Step 2: Convert to fraction form
    10,210.04/15,313.98 = 3,284/x
  3. Step 3: Cross multiply
    10,210.04x = 15,313.98 × 3,284
  4. Step 4: Simplify right side
    10,210.04x = 50,291,110.32
  5. Step 5: Solve for x
    x = 50,291,110.32/10,210.04
  6. Step 6: Final answer
    x = 4,925.65

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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.