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Finding the Fourth Proportional to 9,695.80, 14,543.70 and 7,506.10

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Solution

The fourth proportional to 9,695.80, 14,543.70 and 7,506.10 is: 11,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.80 : 14,543.70 = 7,506.10 : x
  2. Step 2: Convert to fraction form
    9,695.80/14,543.70 = 7,506.10/x
  3. Step 3: Cross multiply
    9,695.80x = 14,543.70 × 7,506.10
  4. Step 4: Simplify right side
    9,695.80x = 109,166,466.57
  5. Step 5: Solve for x
    x = 109,166,466.57/9,695.80
  6. Step 6: Final answer
    x = 11,259.15

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Similar ratio
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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.