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Finding the Fourth Proportional to 10,496.46, 15,730.65 and 7,710.06

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Solution

The fourth proportional to 10,496.46, 15,730.65 and 7,710.06 is: 11,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.46 : 15,730.65 = 7,710.06 : x
  2. Step 2: Convert to fraction form
    10,496.46/15,730.65 = 7,710.06/x
  3. Step 3: Cross multiply
    10,496.46x = 15,730.65 × 7,710.06
  4. Step 4: Simplify right side
    10,496.46x = 121,284,255.34
  5. Step 5: Solve for x
    x = 121,284,255.34/10,496.46
  6. Step 6: Final answer
    x = 11,554.78

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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.