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Finding the Fourth Proportional to 7,094.79, 9,785.61 and 4,700.43

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Solution

The fourth proportional to 7,094.79, 9,785.61 and 4,700.43 is: 6,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.79 : 9,785.61 = 4,700.43 : x
  2. Step 2: Convert to fraction form
    7,094.79/9,785.61 = 4,700.43/x
  3. Step 3: Cross multiply
    7,094.79x = 9,785.61 × 4,700.43
  4. Step 4: Simplify right side
    7,094.79x = 45,996,574.81
  5. Step 5: Solve for x
    x = 45,996,574.81/7,094.79
  6. Step 6: Final answer
    x = 6,483.15

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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.