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Finding the Fourth Proportional to 10,607.04, 15,881.40 and 8,002.08

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Solution

The fourth proportional to 10,607.04, 15,881.40 and 8,002.08 is: 11,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.04 : 15,881.40 = 8,002.08 : x
  2. Step 2: Convert to fraction form
    10,607.04/15,881.40 = 8,002.08/x
  3. Step 3: Cross multiply
    10,607.04x = 15,881.40 × 8,002.08
  4. Step 4: Simplify right side
    10,607.04x = 127,084,233.31
  5. Step 5: Solve for x
    x = 127,084,233.31/10,607.04
  6. Step 6: Final answer
    x = 11,981.12

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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.