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Finding the Fourth Proportional to 7,802.16, 11,644.08 and 7,484.64

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Solution

The fourth proportional to 7,802.16, 11,644.08 and 7,484.64 is: 11,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.16 : 11,644.08 = 7,484.64 : x
  2. Step 2: Convert to fraction form
    7,802.16/11,644.08 = 7,484.64/x
  3. Step 3: Cross multiply
    7,802.16x = 11,644.08 × 7,484.64
  4. Step 4: Simplify right side
    7,802.16x = 87,151,746.93
  5. Step 5: Solve for x
    x = 87,151,746.93/7,802.16
  6. Step 6: Final answer
    x = 11,170.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.