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Finding the Fourth Proportional to 9,038.40, 13,565.70 and 7,807.20

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Solution

The fourth proportional to 9,038.40, 13,565.70 and 7,807.20 is: 11,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.40 : 13,565.70 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    9,038.40/13,565.70 = 7,807.20/x
  3. Step 3: Cross multiply
    9,038.40x = 13,565.70 × 7,807.20
  4. Step 4: Simplify right side
    9,038.40x = 105,910,133.04
  5. Step 5: Solve for x
    x = 105,910,133.04/9,038.40
  6. Step 6: Final answer
    x = 11,717.80

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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.