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Finding the Fourth Proportional to 97,966.40, 137,464 and 97,966.40

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Solution

The fourth proportional to 97,966.40, 137,464 and 97,966.40 is: 137,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,966.40 : 137,464 = 97,966.40 : x
  2. Step 2: Convert to fraction form
    97,966.40/137,464 = 97,966.40/x
  3. Step 3: Cross multiply
    97,966.40x = 137,464 × 97,966.40
  4. Step 4: Simplify right side
    97,966.40x = 13,466,853,209.60
  5. Step 5: Solve for x
    x = 13,466,853,209.60/97,966.40
  6. Step 6: Final answer
    x = 137,464

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.