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Finding the Fourth Proportional to 10,070.70, 13,909.20 and 6,707.98

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Solution

The fourth proportional to 10,070.70, 13,909.20 and 6,707.98 is: 9,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.70 : 13,909.20 = 6,707.98 : x
  2. Step 2: Convert to fraction form
    10,070.70/13,909.20 = 6,707.98/x
  3. Step 3: Cross multiply
    10,070.70x = 13,909.20 × 6,707.98
  4. Step 4: Simplify right side
    10,070.70x = 93,302,635.42
  5. Step 5: Solve for x
    x = 93,302,635.42/10,070.70
  6. Step 6: Final answer
    x = 9,264.76

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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.