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Finding the Fourth Proportional to 10,303, 14,220.06 and 6,111.16

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Solution

The fourth proportional to 10,303, 14,220.06 and 6,111.16 is: 8,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303 : 14,220.06 = 6,111.16 : x
  2. Step 2: Convert to fraction form
    10,303/14,220.06 = 6,111.16/x
  3. Step 3: Cross multiply
    10,303x = 14,220.06 × 6,111.16
  4. Step 4: Simplify right side
    10,303x = 86,901,061.87
  5. Step 5: Solve for x
    x = 86,901,061.87/10,303
  6. Step 6: Final answer
    x = 8,434.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.