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Finding the Fourth Proportional to 10,706.70, 14,779.50 and 7,258.08

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Solution

The fourth proportional to 10,706.70, 14,779.50 and 7,258.08 is: 10,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.70 : 14,779.50 = 7,258.08 : x
  2. Step 2: Convert to fraction form
    10,706.70/14,779.50 = 7,258.08/x
  3. Step 3: Cross multiply
    10,706.70x = 14,779.50 × 7,258.08
  4. Step 4: Simplify right side
    10,706.70x = 107,270,737.94
  5. Step 5: Solve for x
    x = 107,270,737.94/10,706.70
  6. Step 6: Final answer
    x = 10,019.03

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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.