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Finding the Fourth Proportional to 7,002.04, 9,665.58 and 4,207

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Solution

The fourth proportional to 7,002.04, 9,665.58 and 4,207 is: 5,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.04 : 9,665.58 = 4,207 : x
  2. Step 2: Convert to fraction form
    7,002.04/9,665.58 = 4,207/x
  3. Step 3: Cross multiply
    7,002.04x = 9,665.58 × 4,207
  4. Step 4: Simplify right side
    7,002.04x = 40,663,095.06
  5. Step 5: Solve for x
    x = 40,663,095.06/7,002.04
  6. Step 6: Final answer
    x = 5,807.32

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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.