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Finding the Fourth Proportional to 7,030.04, 9,706.02 and 4,513.10

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Solution

The fourth proportional to 7,030.04, 9,706.02 and 4,513.10 is: 6,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.04 : 9,706.02 = 4,513.10 : x
  2. Step 2: Convert to fraction form
    7,030.04/9,706.02 = 4,513.10/x
  3. Step 3: Cross multiply
    7,030.04x = 9,706.02 × 4,513.10
  4. Step 4: Simplify right side
    7,030.04x = 43,804,238.86
  5. Step 5: Solve for x
    x = 43,804,238.86/7,030.04
  6. Step 6: Final answer
    x = 6,231.01

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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.