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Finding the Fourth Proportional to 9,707.95, 13,386.47 and 7,464.88

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Solution

The fourth proportional to 9,707.95, 13,386.47 and 7,464.88 is: 10,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.95 : 13,386.47 = 7,464.88 : x
  2. Step 2: Convert to fraction form
    9,707.95/13,386.47 = 7,464.88/x
  3. Step 3: Cross multiply
    9,707.95x = 13,386.47 × 7,464.88
  4. Step 4: Simplify right side
    9,707.95x = 99,928,392.17
  5. Step 5: Solve for x
    x = 99,928,392.17/9,707.95
  6. Step 6: Final answer
    x = 10,293.46

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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.