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Finding the Fourth Proportional to 9,713.40, 14,587.70 and 8,503.80

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Solution

The fourth proportional to 9,713.40, 14,587.70 and 8,503.80 is: 12,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.40 : 14,587.70 = 8,503.80 : x
  2. Step 2: Convert to fraction form
    9,713.40/14,587.70 = 8,503.80/x
  3. Step 3: Cross multiply
    9,713.40x = 14,587.70 × 8,503.80
  4. Step 4: Simplify right side
    9,713.40x = 124,050,883.26
  5. Step 5: Solve for x
    x = 124,050,883.26/9,713.40
  6. Step 6: Final answer
    x = 12,771.11

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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.