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Finding the Fourth Proportional to 9,802.16, 13,527.24 and 5,611.76

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Solution

The fourth proportional to 9,802.16, 13,527.24 and 5,611.76 is: 7,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.16 : 13,527.24 = 5,611.76 : x
  2. Step 2: Convert to fraction form
    9,802.16/13,527.24 = 5,611.76/x
  3. Step 3: Cross multiply
    9,802.16x = 13,527.24 × 5,611.76
  4. Step 4: Simplify right side
    9,802.16x = 75,911,624.34
  5. Step 5: Solve for x
    x = 75,911,624.34/9,802.16
  6. Step 6: Final answer
    x = 7,744.38

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Half scale
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Double scale
Find fourth proportional to 9,803.16, 13,528.62 and 5,612.76
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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.