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Finding the Fourth Proportional to 10,358.16, 15,541.02 and 6,465.84

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Solution

The fourth proportional to 10,358.16, 15,541.02 and 6,465.84 is: 9,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.16 : 15,541.02 = 6,465.84 : x
  2. Step 2: Convert to fraction form
    10,358.16/15,541.02 = 6,465.84/x
  3. Step 3: Cross multiply
    10,358.16x = 15,541.02 × 6,465.84
  4. Step 4: Simplify right side
    10,358.16x = 100,485,748.76
  5. Step 5: Solve for x
    x = 100,485,748.76/10,358.16
  6. Step 6: Final answer
    x = 9,701.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.