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Finding the Fourth Proportional to 9,343, 14,008.02 and 5,646.16

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Solution

The fourth proportional to 9,343, 14,008.02 and 5,646.16 is: 8,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343 : 14,008.02 = 5,646.16 : x
  2. Step 2: Convert to fraction form
    9,343/14,008.02 = 5,646.16/x
  3. Step 3: Cross multiply
    9,343x = 14,008.02 × 5,646.16
  4. Step 4: Simplify right side
    9,343x = 79,091,522.20
  5. Step 5: Solve for x
    x = 79,091,522.20/9,343
  6. Step 6: Final answer
    x = 8,465.32

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Double scale
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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.